Question

Rationalize the denominator in the following 1/√7-√6 ​

Answer 1

So let's solve:-

$\frac{1}{ \sqrt{7} - \sqrt{6} } \\ \frac{1}{ \sqrt{7} - \sqrt{6} } \times \frac{ \sqrt{7} + \sqrt{6} }{ \sqrt{7} + \sqrt{6} } \\ \frac{ \sqrt{7} + \sqrt{6} }{ (\sqrt{7} - \sqrt{6}) \times(\sqrt{7} + \sqrt{6})} \\ \frac{ \sqrt{7} + \sqrt{6} }{7 - 6} \\ \frac{ \sqrt{7} + \sqrt{6} }{1}$