Question

In X=(5+2√6),find the value of √x+1/√x​

Answer 1

Answer:

$x = (5 + 2 \sqrt{6} ) \\ \sqrt{x} + \frac{1}{ \sqrt{x} } = \sqrt{(5 + 2 \sqrt{6)} } + \frac{1}{\sqrt{(5 + 2 \sqrt{6)} }} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{5 + 2 \sqrt{6} + 1 }{\sqrt{(5 + 2 \sqrt{6)} }} \: = \: \frac{6 + 2 \sqrt{6} }{ \sqrt{5 + 2 \sqrt{6} } } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ this \: would \: be \: the \: answer \: of \: this \: question \: \\ or \: to \: expand \: then \: substitute \: the \: value \: of \: \\ \sqrt{6} \: and \: try \: to \: solve.$