Question

calculati $\sqrt{7+ \sqrt{7} }$ · $\sqrt{ \sqrt{14}+ \sqrt{7+ \sqrt{7} } }$ · $\sqrt{ \sqrt{14}- \sqrt{7+ \sqrt{7} } }$

Answer 1

$\sqrt{7+ \sqrt{7} }* \sqrt{ \sqrt{14} + \sqrt{7+ \sqrt{7} } } *\sqrt{ \sqrt{14} - \sqrt{7+ \sqrt{7} } } =$

$= \sqrt{7+ \sqrt{7} } *\sqrt{ \sqrt{14}^2 - \sqrt{7+ \sqrt{7} }^2 } =$

$= \sqrt{7+ \sqrt{7} } *\sqrt{ 14 -7+ \sqrt{7} } =$

$= \sqrt{7+ \sqrt{7} } *\sqrt{ 7+ \sqrt{7} } =$

$= \sqrt{7+ \sqrt{7} }^2=$

$=7+ \sqrt{7}$