Question

if x=9+4√5 then find the value of √x+1/√x
Please answer it’s urgent i will for sure mark the answer as brainlieast

Answer 1

sorry I don't know the answer

Answer 2

Answer:

$given - \\ \\ x = 9 + 4 \sqrt{5} \\ \\ \frac{1}{x} = \frac{1}{9 + 4\sqrt{5} } = \frac{9 - 4 \sqrt{5} }{(9 + 4 \sqrt{5} )(9 - 4 \sqrt{5}) } = \frac{9 - 4 \sqrt{5} }{81 - 80} = 9 - 4 \sqrt{5} \\ \\ so - \\ \\ = > {( \sqrt{x} + \frac{1}{ \sqrt{x} } )}^{2} = x + \frac{1}{x} + 2 \\ \\ = > {( \sqrt{x} + \frac{1}{ \sqrt{x} } ) }^{2} = 9 + 4 \sqrt{5} + 9 - 4 \sqrt{5} + 2 \\ \\ = > { (\sqrt{x} + \frac{1}{ \sqrt{x} } )}^{2} = 20 \\ \\ = > (\sqrt{x} + \frac{1}{ \sqrt{x} } ) = \sqrt{20}$

Hey , here is your answer...❤❤❤