just checking

Question

just checking

anonymous · Answer

given 
E=$$\sqrt{2}\sqrt{2-\sqrt{3}}(\sqrt{3}+1)$$
Calculate $$E^{2}$$   then deduce the value of E
I got E=2 so did my calculator but wolfram got something else

hartnn · Answer

http://www.wolframalpha.com/input/?i=sqrt+2sqrt%282%E2%88%92sqrt%283%29%29%28sqrt3%2B1%29

anonymous · Answer

You can check your value on the wolfram input box, sometimes there is an error because the radicals are incorrectly put.

anonymous · Answer

$\large E=\sqrt{2}\sqrt{2-\sqrt{3}}(\sqrt{3}+1) $
$\large E^2=(\sqrt{2}\sqrt{2-\sqrt{3}}(\sqrt{3}+1))^2 $
$\large E^2=2(2-\sqrt{3})(\sqrt{3}+1)^2=(4-2\sqrt3)(3+2\sqrt3+1) $
        $\large = (4-2\sqrt3)(3+2\sqrt3+1) $
        $\large = 12+8\sqrt3+4-6\sqrt3-12-2\sqrt3=4 $

so E=2...

anonymous · Answer

thx

anonymous · Answer

yw..:)