Question

Simplify........
plz solve it quickly........​

Answer 1

$\frac{ \sqrt{2} }{ \sqrt{6} - \sqrt{2} } - \frac{ \sqrt{3} }{ \sqrt{6} + \sqrt{2} } \\ = \frac{ \sqrt{2} - \sqrt{3} }{ {( \sqrt{6} )}^{2} - ( { \sqrt{2} )}^{2} } \\ = \frac{ \sqrt{2} - \sqrt{3} }{6 - 2 } \\ = \frac{ \sqrt{2} - \sqrt{3} }{4}$

Answer 2

Step-by-step explanation:

$\frac{ \sqrt{2} }{ \sqrt{6 - \sqrt{2} } } \times \frac{ \sqrt{6 \: + \sqrt{2} } }{ \sqrt{6 + \sqrt{2} } } - \frac{ \sqrt{3} }{ \sqrt{6 + \sqrt{2} } } \times \frac{ \sqrt{6 - \sqrt{2} } }{ \sqrt{6 - \sqrt{2} } } \\ \\ \frac{ \sqrt[2]{6} }{4} - \frac{ \sqrt[3]{6} }{4} = \frac{ \sqrt{6} }{4}$