Question

If x = 5 + 2√6
Prove that:-
√x + 1/√x = 2√3

Answer 1

X = 5 + 2
$x = 5 + 2 \sqrt{6}$



$\sqrt{x} = \sqrt{5 + 2 \sqrt{6} }$


=.
$2 \sqrt{6} = 2 \sqrt{2 \times 3}$


=
$\sqrt{} (\sqrt{3 } + \sqrt{2}) {}^{2}$
$\sqrt{3} + \sqrt{2}$
$1 \div \sqrt{ \times } = \sqrt{3} - \sqrt{2}$
Now


SqrtX + 1/sqrtx = 2sqrt3