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		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?action=history&amp;feed=atom&amp;title=Solution_3.1%3A1d</id>
		<title>Solution 3.1:1d - Revision history</title>
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		<updated>2026-04-08T10:10:22Z</updated>
		<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_3.1:1d&amp;diff=5656&amp;oldid=prev</id>
		<title>Tek at 07:39, 30 September 2008</title>
		<link rel="alternate" type="text/html" href="http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_3.1:1d&amp;diff=5656&amp;oldid=prev"/>
				<updated>2008-09-30T07:39:58Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;

			&lt;table style=&quot;background-color: white; color:black;&quot;&gt;
			&lt;col class='diff-marker' /&gt;
			&lt;col class='diff-content' /&gt;
			&lt;col class='diff-marker' /&gt;
			&lt;col class='diff-content' /&gt;
			&lt;tr&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;←Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 07:39, 30 September 2008&lt;/td&gt;
			&lt;/tr&gt;
		&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;Because &lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;Because &amp;lt;math&amp;gt;\sqrt{3}&amp;lt;/math&amp;gt; is &lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;equal to &lt;/ins&gt;&amp;lt;math&amp;gt;3^{1&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;/&lt;/ins&gt;2}&amp;lt;/math&amp;gt;, then &amp;lt;math&amp;gt;\sqrt{\sqrt{3}} = \sqrt{3^{1/2}} = \&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;bigl&lt;/ins&gt;(3^{1/2}\&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;bigr&lt;/ins&gt;)^{1/2} = 3^{\frac{1}{2}\&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;cdot&lt;/ins&gt;\frac{1}{2}} = 3^{1/4}&amp;lt;/math&amp;gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;\sqrt{3}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;is &lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;3^&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;{\frac&lt;/del&gt;{1&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;2&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/del&gt;}&amp;lt;/math&amp;gt;, &lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt; &lt;/del&gt;then &lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;\sqrt{\sqrt{3}}=\sqrt{3^&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;{&lt;/del&gt;{1&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/del&gt;/&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;{&lt;/del&gt;2&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;}\;&lt;/del&gt;}}=\&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;left&lt;/del&gt;( 3^&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;{&lt;/del&gt;{1&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/del&gt;/&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;{&lt;/del&gt;2}\&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;;} \right&lt;/del&gt;)^&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;{&lt;/del&gt;{1&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/del&gt;/&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;{&lt;/del&gt;2&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;}\;&lt;/del&gt;}=3^{\frac{1}{2}\&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;centerdot &lt;/del&gt;\frac{1}{2}}=3^&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;{&lt;/del&gt;{1&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/del&gt;/&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;{&lt;/del&gt;4&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;}\;&lt;/del&gt;}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tek</name></author>	</entry>

	<entry>
		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_3.1:1d&amp;diff=5336&amp;oldid=prev</id>
		<title>Ian at 10:17, 22 September 2008</title>
		<link rel="alternate" type="text/html" href="http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_3.1:1d&amp;diff=5336&amp;oldid=prev"/>
				<updated>2008-09-22T10:17:07Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;

			&lt;table style=&quot;background-color: white; color:black;&quot;&gt;
			&lt;col class='diff-marker' /&gt;
			&lt;col class='diff-content' /&gt;
			&lt;col class='diff-marker' /&gt;
			&lt;col class='diff-content' /&gt;
			&lt;tr&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;←Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 10:17, 22 September 2008&lt;/td&gt;
			&lt;/tr&gt;
		&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;{NAVCONTENT_START}&lt;/del&gt;}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;Because &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;center&lt;/del&gt;&amp;gt; &lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;[[Image:3_1_1d.gif]] &lt;/del&gt;&amp;lt;/&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;center&lt;/del&gt;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;math&amp;gt;\sqrt&lt;/ins&gt;{&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/ins&gt;}&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/math&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;NAVCONTENT_STOP&lt;/del&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;is &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;3^{\frac{1}{2}}&lt;/ins&gt;&amp;lt;/&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;,  then &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;math&amp;gt;\sqrt&lt;/ins&gt;{&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\sqrt&lt;/ins&gt;{&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/ins&gt;}}&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;=\sqrt{3^{{1}/{2}\;}}=\left( 3^{{1}/{2}\;} \right)^{{1}/{2}\;}=3^{\frac{1}{2}\centerdot \frac{1}{2}}=3^{{1}/{4}\;}&amp;lt;/math&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Ian</name></author>	</entry>

	<entry>
		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_3.1:1d&amp;diff=3432&amp;oldid=prev</id>
		<title>Tekbot: Lösning 3.1:1d moved to Solution 3.1:1d: Robot: moved page</title>
		<link rel="alternate" type="text/html" href="http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_3.1:1d&amp;diff=3432&amp;oldid=prev"/>
				<updated>2008-09-09T09:07:03Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;a href=&quot;/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=L%C3%B6sning_3.1:1d&amp;amp;action=edit&quot; class=&quot;new&quot; title=&quot;Lösning 3.1:1d&quot;&gt;Lösning 3.1:1d&lt;/a&gt; moved to &lt;a href=&quot;/wikis/2009/bridgecourse1-ImperialCollege/index.php/Solution_3.1:1d&quot; title=&quot;Solution 3.1:1d&quot;&gt;Solution 3.1:1d&lt;/a&gt;: Robot: moved page&lt;/p&gt;

			&lt;table style=&quot;background-color: white; color:black;&quot;&gt;
			&lt;col class='diff-marker' /&gt;
			&lt;col class='diff-content' /&gt;
			&lt;col class='diff-marker' /&gt;
			&lt;col class='diff-content' /&gt;
			&lt;tr&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;←Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 09:07, 9 September 2008&lt;/td&gt;
			&lt;/tr&gt;
		&lt;/table&gt;</summary>
		<author><name>Tekbot</name></author>	</entry>

	<entry>
		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_3.1:1d&amp;diff=2310&amp;oldid=prev</id>
		<title>Tekbot: Robot: Automated text replacement  (-[[Bild: +[[Image:)</title>
		<link rel="alternate" type="text/html" href="http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_3.1:1d&amp;diff=2310&amp;oldid=prev"/>
				<updated>2008-08-21T06:50:39Z</updated>
		
		<summary type="html">&lt;p&gt;Robot: Automated text replacement  (-[[Bild: +[[Image:)&lt;/p&gt;

			&lt;table style=&quot;background-color: white; color:black;&quot;&gt;
			&lt;col class='diff-marker' /&gt;
			&lt;col class='diff-content' /&gt;
			&lt;col class='diff-marker' /&gt;
			&lt;col class='diff-content' /&gt;
			&lt;tr&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;←Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 06:50, 21 August 2008&lt;/td&gt;
			&lt;/tr&gt;
		&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{NAVCONTENT_START}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{NAVCONTENT_START}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;center&amp;gt; [[&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;Bild&lt;/del&gt;:3_1_1d.gif]] &amp;lt;/center&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;center&amp;gt; [[&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;Image&lt;/ins&gt;:3_1_1d.gif]] &amp;lt;/center&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{NAVCONTENT_STOP}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{NAVCONTENT_STOP}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tekbot</name></author>	</entry>

	<entry>
		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_3.1:1d&amp;diff=858&amp;oldid=prev</id>
		<title>Oskar: Ny sida: {{NAVCONTENT_START}} &lt;center&gt; Bild:3_1_1d.gif &lt;/center&gt; {{NAVCONTENT_STOP}}</title>
		<link rel="alternate" type="text/html" href="http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_3.1:1d&amp;diff=858&amp;oldid=prev"/>
				<updated>2008-04-01T13:44:26Z</updated>
		
		<summary type="html">&lt;p&gt;Ny sida: {{NAVCONTENT_START}} &amp;lt;center&amp;gt; &lt;a href=&quot;/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Bild:3_1_1d.gif&amp;amp;action=edit&quot; class=&quot;new&quot; title=&quot;Bild:3 1 1d.gif&quot;&gt;Bild:3_1_1d.gif&lt;/a&gt; &amp;lt;/center&amp;gt; {{NAVCONTENT_STOP}}&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{NAVCONTENT_START}}&lt;br /&gt;
&amp;lt;center&amp;gt; [[Bild:3_1_1d.gif]] &amp;lt;/center&amp;gt;&lt;br /&gt;
{{NAVCONTENT_STOP}}&lt;/div&gt;</summary>
		<author><name>Oskar</name></author>	</entry>

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