Square roots

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The quantity sqrt(45) + 2*sqrt(5) + sqrt(360)/sqrt(2) can be expressed as sqrtN, where N is an integer. Find N.

Guest Jan 26, 2022

XxmathguyxX · Answer 1 · 2022-01-26T04:23:10

$\sqrt{45}+2\sqrt5+\frac{\sqrt{360}}{\sqrt2}$

$3\sqrt5+2\sqrt5+\frac{\sqrt{360}}{\sqrt2}$

$3\sqrt{5}+2\sqrt{5}+6\sqrt{5}$

$11\sqrt{5}$

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proyaop · Answer 2 · 2022-01-26T04:23:20

To simplify:

3sqrt5 + 2sqrt(5) + 6sqrt(5) = 11 sqrt5 so the answer is 11sqrt(5)