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The quantity $\sqrt{45} - 2\sqrt{5} + \frac{\sqrt{360}}{\sqrt{2}}$ can be expressed as $\sqrt{N}$, where $N$ is an integer. Find $N$

Aug 21, 2021

$\sqrt{45} - 2 \sqrt{5} + \frac{\sqrt{360}}{\sqrt{2}} = 5 \sqrt{5} = \sqrt{125}$, so $N = 125$.