SIMPLIFY
(3/ 8 ROOT TIMES 2 + 5 ROOT TIMES 5) +(2/ 8 ROOT TIMES 2- 5 ROOT TIMES 5)

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Solution

$[\frac{3}{8 \sqrt{2}} + 5 \sqrt{5}] + [\frac{2}{8 \sqrt{2}} - 5 \sqrt{5}] = \frac{3}{8 \sqrt{2}} + 5 \sqrt{5} + \frac{2}{8 \sqrt{2}} - 5 \sqrt{5} = \frac{3}{8 \sqrt{2}} + \frac{2}{8 \sqrt{2}} = \frac{5}{8 \sqrt{2}} = \frac{5}{8 \sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \frac{5 \sqrt{2}}{16}$

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