Question

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Answer 1

$\rm{rationalise \: the \: denominator \: of \: \frac{1}{ \sqrt{7} - \sqrt{6} } }$

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

$\implies{ \frac{ \sqrt{7 } + \sqrt{6} }{{ (\sqrt{7} )}^{2} - {(\sqrt{6} )}^{2} } }$

$\implies{ \frac{ \sqrt{7 } + \sqrt{6} }{ 7 - 6} }$

$\fbox{ \therefore \: \sqrt{7} + \sqrt{6} }$