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Question

If $$N = \dfrac{\sqrt{\sqrt 5 + 2} + \sqrt{\sqrt 5 - 2}}{\sqrt{\sqrt 5 + 1}} = \sqrt{3 - 2 \sqrt{2}}$$ then the value of $$N$$ is;

A

$$2\sqrt{2}-1$$

B

$$2$$

C

$$1$$

D

$$\sqrt{5}-\sqrt{2}$$

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Solution

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Correct option is A. $$2\sqrt{2}-1$$

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