Question

If x=root 6+root 5.Then find x+1/x

Answer 1

$x = \sqrt{6} + \sqrt{5} \\ for \: value \: of \: \frac{1}{x} \\ \frac{1}{ \sqrt{6} + \sqrt{5} } \times \frac{ \sqrt{6} - \sqrt{5} }{ \sqrt{6} - \sqrt{5} } \\ \frac{ \sqrt{6} - \sqrt{5} }{ { \sqrt{6} }^{2} - { \sqrt{5} }^{2} } \\ \sqrt{6} - \sqrt{5} \\ now \: we \: have \: value \: of \: x \: and \: \frac{1}{x} \: so \: put \: the \: values \\ x + \frac{1}{x} \\ \sqrt{6} + \sqrt{5} + \sqrt{6 } - \sqrt{5 } \\ = 2 \sqrt{6 \: } \: \: is \: your \: answer$

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