If $$x = 5 + 2\sqrt 6 {\text{,}}$$ then the value of $$\left( {\sqrt x + \frac{1}{{\sqrt x }}} \right)\,{\text{is?}}$$ Options: A . &nbsp$${\text{2}}\sqrt 2 $$ B . &nbsp$${\text{3}}\sqrt 2 $$ C . &nbsp$${\text{2}}\sqrt 3 $$ D . &nbsp$${\text{3}}\sqrt 3 $$

If $$x = 5 + 2\sqrt 6 {\text{,}}$$ then the value of $$\left( {\sqrt x + \f

Question

If $$x = 5 + 2\sqrt 6 {\text{,}}$$ then the value of $$\left( {\sqrt x + \frac{1}{{\sqrt x }}} \right)\,{\text{is?}}$$

Options:

A . $${\text{2}}\sqrt 2 $$

B . $${\text{3}}\sqrt 2 $$

C . $${\text{2}}\sqrt 3 $$

D . $${\text{3}}\sqrt 3 $$

Answer: Option C

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