$$\frac{{12}}{{3 + \sqrt 5 + 2\sqrt 2 }}$$ is equal to = ? Options: A . &nbsp$${\text{1}} - \sqrt 5 + \sqrt 2 + \sqrt {16} $$ B . &nbsp$${\text{1}} + \sqrt 5 + \sqrt 2 - \sqrt {10} $$ C . &nbsp$${\text{1}} + \sqrt 5 + \sqrt 2 + \sqrt {10} $$ D . &nbsp$${\text{1}} - \sqrt 5 - \sqrt 2 + \sqrt {10} $$

$$\frac{{12}}{{3 + \sqrt 5 + 2\sqrt 2 }}$$ is equal to = ?

Question

$$\frac{{12}}{{3 + \sqrt 5 + 2\sqrt 2 }}$$ is equal to = ?

Options:

A . $${\text{1}} - \sqrt 5 + \sqrt 2 + \sqrt {16} $$

B . $${\text{1}} + \sqrt 5 + \sqrt 2 - \sqrt {10} $$

C . $${\text{1}} + \sqrt 5 + \sqrt 2 + \sqrt {10} $$

D . $${\text{1}} - \sqrt 5 - \sqrt 2 + \sqrt {10} $$

Answer: Option B

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