Question

X= 2+√3 then the value of √x + 1/√x please solve and show the procedure

Answer 1

Hey mate :
$given \: x = 2 + \sqrt{3} \\ then \sqrt{x} + \frac{1}{ \sqrt{x} } = ? \\ and \sqrt{x} = \sqrt{2 + \sqrt{3} } \\ \\ \sqrt{x} + \frac{1}{ \sqrt{x} } = \sqrt{2 + \sqrt{3} } + \frac{1}{ \sqrt{2 + \sqrt{3} } } \\ = \frac{{( \sqrt{2 + \sqrt{x} } )}^{2} }{ \sqrt{2 + \sqrt{3} } } \\ = \frac{2 + \sqrt{3} }{ \sqrt{2 + \sqrt{3} } }$
Hope it Help you :)

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