Question

simplify: root 2+root 5/root 2- root 5

urgently please help me ​
please please please

Answer 1

$\huge{Solution}$

$\frac{ \sqrt{2} + \sqrt{5} }{ \sqrt{2} - \sqrt{5} } \times \frac{ \sqrt{2} + \sqrt{5} }{ \sqrt{2} + \sqrt{5} }$

$\frac{( \sqrt{2} + \sqrt{5}) {}^{2} }{2 - 5} = \frac{2 + 5 + 2 \sqrt{10} }{ - 3} = \frac{7 + 2 \sqrt{10} }{ - 3}$