How would I simplify $\sqrt{\frac{800}{3}}$ preferably by a factor tree? I know it simplifies into $\frac{20\sqrt{6}}{3}$. I just don't know the steps to get there. Help please?
2026-03-27 22:11:32.1774649492
Simplifying square roots?
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Hints:
$$\sqrt{\frac{800}{3}}=\sqrt{20^2\frac{2}{3}}=20\sqrt{\frac{2}{3}}=20\sqrt{\frac{2\times 3}{3\times 3}}=\frac{20}{3}\sqrt{6}$$