Lösung 3.1:1d
Aus Online Mathematik Brückenkurs 1
(Unterschied zwischen Versionen)
K (Lösning 3.1:1d moved to Solution 3.1:1d: Robot: moved page) |
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- | { | + | Because |
- | < | + | <math>\sqrt{3}</math> |
- | {{ | + | is |
+ | <math>3^{\frac{1}{2}}</math>, then | ||
+ | <math>\sqrt{\sqrt{3}}=\sqrt{3^{{1}/{2}\;}}=\left( 3^{{1}/{2}\;} \right)^{{1}/{2}\;}=3^{\frac{1}{2}\centerdot \frac{1}{2}}=3^{{1}/{4}\;}</math> |
Version vom 10:17, 22. Sep. 2008
Because \displaystyle \sqrt{3} is \displaystyle 3^{\frac{1}{2}}, then \displaystyle \sqrt{\sqrt{3}}=\sqrt{3^{{1}/{2}\;}}=\left( 3^{{1}/{2}\;} \right)^{{1}/{2}\;}=3^{\frac{1}{2}\centerdot \frac{1}{2}}=3^{{1}/{4}\;}