Question

1/√7-√6
Rationalize the denominators

Answer 1

this is the solution please follow if you liked the answer

Answer 2

$\qquad \bf \: RF = \sqrt{7} + \sqrt{6} \\ \\ \\ \sf \: \: \frac{1}{ \sqrt{7} - \sqrt{6} } = \frac{1}{ \sqrt{7} \sqrt{6} } \times \frac{ \sqrt{7} + \sqrt{6} }{ \sqrt{7} + \sqrt{6} } \\ \\ \\ \implies \sf \: \frac{ \sqrt{7} + \sqrt{6} }{( \sqrt{7} - \sqrt{6} )( \sqrt{7} + \sqrt{6} )} \\ \\ \\ \implies \sf \: \frac{ \sqrt{7} + \sqrt{6} }{ {( \sqrt{7)} }^{2} {( \sqrt{6)} }^{2} } \\ \\ \\ \implies \sf \: \frac{ \sqrt{7} + \sqrt{6} }{7 - 6} \\ \\ \\ \implies \sf \blue{ \sqrt{7} + \sqrt{6} }$

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