Question

Rationalize:
$\frac{1}{ \sqrt{7 - \sqrt{6} } }$
​

Answer 1

Answer:

$\frac{1}{ \sqrt{7} - \sqrt{6} } \times \frac{ \sqrt{7} + \sqrt{6} }{ \sqrt{7} + \sqrt{6} } \\ = \frac{ \sqrt{7} + \sqrt{6} }{ { \sqrt{7} }^{2} - { \sqrt{6} }^{2} } \\ = \frac{ \sqrt{7} + \sqrt{6} }{7 - 6} \\ = \sqrt{7} + \sqrt{6}$

hope it helps you friend.