Question

Rationalise the denominator of root3+root2/root 3-root2

Answer 1

$= \frac{ \sqrt{3} + \sqrt{2} }{ \sqrt{3} - \sqrt{2} } \\ = \frac{ \sqrt{3} + \sqrt{2} }{ \sqrt{3} - \sqrt{2} } \times \frac{ \sqrt{3} + \sqrt{2} }{ \sqrt{3} + \sqrt{2} } \\ = \frac{3 + 2 \times \sqrt{6} }{3 - 2} \\ = 5 + 2 \sqrt{6}$