Question

what is the ans of 1/√(8-√32)

Answer 1

Ans.

$\frac{1}{8 - \sqrt{32} } \\ = \frac{1}{8 - 4 \sqrt{2} } \\ = \frac{1}{4} \times \frac{1}{2 - \sqrt{2} } \\ = \frac{1}{4} \times \frac{2 + \sqrt{2} }{(2 - \sqrt{2)}(2 + \sqrt{2)}} \\ = \frac{1}{4} \times \frac{2 + \sqrt{2} }{4 - 2} \\ = \frac{1}{4} \times \frac{2 + \sqrt{2} }{2} \\ = \frac{1}{8} (2 + \sqrt{2} )$

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