Question

by rationalising the denominator √2/(√5+√3) is​

Answer 1

QUESTION:-

RATIONALIZE THE DENOMINATOR  $\frac{\sqrt{2} }{\sqrt{5}+ \sqrt{3} }$

EXPLANATION:-

WE MULTIPLY $\frac{\sqrt{2} }{\sqrt{5}+ \sqrt{3} }$ BY IT'S CONJUGATE i.e.$\sqrt{5} -\sqrt{3}$ in numerator and denominator

$\frac{\sqrt{2} }{\sqrt{5}+ \sqrt{3} }*\frac{\sqrt{5} -\sqrt{3}}{\sqrt{5} -\sqrt{3}}$

===> on simplifying we get $\sqrt{5} -\sqrt{3}$