Solution 3.1:8a
From Förberedande kurs i matematik 1
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| - | {{  | + | If we write the numbers in power form  | 
| - | <  | + | |
| - | {{  | + | |
| + | <math>\sqrt[3]{5}=5^{{1}/{3}\;}</math>  | ||
| + | 		and 		  | ||
| + | <math>\sqrt[3]{6}=6^{{1}/{3}\;}</math>  | ||
| + | |||
| + | |||
| + | we see that   | ||
| + | <math>\sqrt[3]{6}</math>  | ||
| + | is larger since   | ||
| + | <math>6</math>  | ||
| + | is larger than   | ||
| + | <math>5</math>  | ||
| + | and both numbers have the same positive exponent,  | ||
| + | <math>{1}/{3}\;</math>.  | ||
Revision as of 11:08, 23 September 2008
If we write the numbers in power form
\displaystyle \sqrt[3]{5}=5^{{1}/{3}\;}
		and 		
\displaystyle \sqrt[3]{6}=6^{{1}/{3}\;}
we see that 
\displaystyle \sqrt[3]{6}
is larger since 
\displaystyle 6
is larger than 
\displaystyle 5
and both numbers have the same positive exponent,
\displaystyle {1}/{3}\;.
