If $$x = 5 - \sqrt {21} {\text{,}}$$ then the value of $$\frac{{\sqrt x }}{{\sqrt {32 - 2x} - \sqrt {21} }}$$ is? Options: A . &nbsp$$\frac{1}{{\sqrt 2 }}\left( {\sqrt 3 - \sqrt 7 } \right)$$ B . &nbsp$$\frac{1}{{\sqrt 2 }}\left( {\sqrt 7 - \sqrt 3 } \right)$$ C . &nbsp$$\frac{1}{{\sqrt 2 }}\left( {\sqrt 7 + \sqrt 3 } \right)$$ D . &nbsp$$\frac{1}{{\sqrt 2 }}\left( {7 + \sqrt 3 } \right)$$

If $$x = 5 - \sqrt {21} {\text{,}}$$ then the value of $$\frac{{\sqrt x }}{{\

Question

If $$x = 5 - \sqrt {21} {\text{,}}$$ then the value of $$\frac{{\sqrt x }}{{\sqrt {32 - 2x} - \sqrt {21} }}$$ is?

Options:

A . $$\frac{1}{{\sqrt 2 }}\left( {\sqrt 3 - \sqrt 7 } \right)$$

B . $$\frac{1}{{\sqrt 2 }}\left( {\sqrt 7 - \sqrt 3 } \right)$$

C . $$\frac{1}{{\sqrt 2 }}\left( {\sqrt 7 + \sqrt 3 } \right)$$

D . $$\frac{1}{{\sqrt 2 }}\left( {7 + \sqrt 3 } \right)$$

Answer: Option B

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