Question

Rationalize the denominator of root 2/root 3 +root 2

Answer 1

$\huge{\mathcal{\blue{\underline{Answer}}}}$

$= \frac{ \sqrt{2} }{ \sqrt{3} + \sqrt{2} } \\ = \frac{ \sqrt{2} }{ \sqrt{3} + \sqrt{2} } \times \frac{ \sqrt{3} - \sqrt{2} }{ \sqrt{3 } - \sqrt{2} } \\ = \frac{ \sqrt{6} - 2}{( \sqrt{3}) {}^{2} - ( \sqrt{2} ) {}^{2} } \\ = \frac{ \sqrt{6} - 2}{3 - 2} \\ = \sqrt{6} - 2$