Question

simplify:5+root 2/5-root 2 + 5-root 2/5+root 2

Answer 1

$= \frac{5 + \sqrt{2} }{5} - \sqrt{2} + \frac{5 - \sqrt{2} }{5} + \sqrt{2} \\ \\ = \frac{5 + \sqrt{2} }{5} + \frac{5 - \sqrt{2} }{5} - \sqrt{2} + \sqrt{2} \\ \\ = \frac{5 + \sqrt{2} }{5} + \frac{5 - \sqrt{2} }{5} \\ \\ = \frac{5 + \sqrt{2} + 5 - \sqrt{2} }{5} \\ \\ = \frac{10}{5} = 2$

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Answer 2

Answer:

refer above picture

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