Question

Rationalize: 1/√2+√3

Answer 1

Step-by-step explanation:

it will be your answer mate

Answer 2

${\bold{\huge{\textbf{Answer}}}}$

$\bold{\frac{1}{\sqrt{2}+\sqrt{3}}}$

On rationalisation

${\frac{1}{\sqrt{2}+\sqrt{3}}×\frac{\sqrt{2}-\sqrt{3}}{\sqrt{2}-\sqrt{3}}}$

In denominator open the brakets with the identity :

a²- b² =(a+b(a-b)

$\bold{\frac{\sqrt{2}+\sqrt{3}}{(\sqrt{2})^{2}-(\sqrt{3})^{2}}}$

$\bold{\frac{\sqrt{2}}{2-3}}$

${\bold{-\sqrt{2}+\sqrt{3}}}$