Question

$\sqrt{5+\sqrt{5} }$ X $\sqrt{5-\sqrt{5} }$

Answer 1

$\sqrt{5+\sqrt{5}}~.~\sqrt{5-\sqrt{5}}\\\\\\\sqrt{(~5+\sqrt{5}~)~.~(~5-\sqrt{5}~)}\\\\\\\sqrt{5^2-5\sqrt{5}+5\sqrt{5}-\sqrt{5}^2}\\\\\\\sqrt{25+5}\\\\\\\sqrt{20}\\\\\\\sqrt{2~.~2~.~5}\\\\\\\sqrt{2^2~.~5}\\\\\\\boxed{2.\sqrt{5}}$