Question

Simplify square root 72 minus square root 27 plus 2 times the square root of 8.

Answer 1

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Here is your answer
$\sqrt{72} - \sqrt{27} + 2 \sqrt{8} \\ = \sqrt{9 \times 4 \times 2} - \sqrt{9 \times 3} + 2 \sqrt{4 \times 2} \\ = 3 \times 2 \sqrt{2} - 3 \sqrt{3} + 2 \times 4 \sqrt{2} \\ = 6 \sqrt{2} - 3 \sqrt{3} + 8 \sqrt{2} \\ = 6 \sqrt{2} + 8 \sqrt{2} - 3 \sqrt{3} \\ = 14 \sqrt{2} - 3 \sqrt{3}$

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