Question

Rationalise: 2÷√3-√5
i cant get it help FAST plzzz

Answer 1

$\frac{2}{ \sqrt{3}- \sqrt{5} }$ can be written as :-
$\frac{2*( \sqrt{3}+ \sqrt{5}) }{( \sqrt{3}- \sqrt{5} )( \sqrt{3}+ \sqrt{5} )}$
It can be written further as $\frac{2*( \sqrt{3}- \sqrt{5} )}{3-5}$...using identity $a^{2}- b^{2} = (a+b)(a-b)$
$\frac{2*( \sqrt{3}+ \sqrt{5} )}{-2}$
= $-( \sqrt{3}+ \sqrt{5} )$