From Förberedande kurs i matematik 1

Revision as of 08:26, 9 September 2008 (edit) Tekbot (Talk | contribs) m (Lösning 1.3:5a moved to Solution 1.3:5a: Robot: moved page) ← Previous diff		Current revision (14:22, 22 September 2008) (edit) (undo) Tek (Talk | contribs) m
(One intermediate revision not shown.)
Line 1:		Line 1:
-	{{NAVCONTENT_START}}	+	The number 4 can be written as <math>4=2\centerdot 2=2^{2}</math> and then, using the power rules, we obtain
-	<center> [[Image:1_3_5a.gif]] </center>	+
-	{{NAVCONTENT_STOP}}	+	{{Displayed math||<math>4^{\frac{1}{2}} = \bigl(2^{2}\bigr)^{\frac{1}{2}} = 2^{2\cdot \frac{1}{2}} = 2^{1} =2\,</math>.}}
		+
		+	Note: Another way to denote <math>4^{\frac{1}{2}}</math> is <math>\sqrt{4}</math> (the square root of 4); more on this in the section on roots later in the course.

---

Current revision

The number 4 can be written as \displaystyle 4=2\centerdot 2=2^{2} and then, using the power rules, we obtain

\displaystyle 4^{\frac{1}{2}} = \bigl(2^{2}\bigr)^{\frac{1}{2}} = 2^{2\cdot \frac{1}{2}} = 2^{1} =2\,.

Note: Another way to denote \displaystyle 4^{\frac{1}{2}} is \displaystyle \sqrt{4} (the square root of 4); more on this in the section on roots later in the course.