Question

rationalize these term 1 /√7-√6​

Answer 1

Step-by-step explanation:

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