Question

If A = 5+2√6, Find the value of √A+1/√A

Answer 1

hello mate!......


given.......


$a = 5 + 2 \sqrt{6} \\ \\ \sqrt{a} + \frac{1}{ \sqrt{a} } = 5 + 2 \sqrt{6} + \frac{1}{5 + 2 \sqrt{6} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{25 + 24 + 20 \sqrt{6} + 1}{5 + 2 \sqrt{6} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{50 + 20 \sqrt{6} }{5 + 2 \sqrt{6} }$
hope it helps u