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express in simple radical form $\sqrt{\frac{2160}{10}}$

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Simplify radical expressions with root inside the root

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Q. express in simple radical form

\sqrt{\frac{2160}{10}}

Combine square roots: Simplify the expression by combining the square roots. $\sqrt{2160} / \sqrt{10} = \sqrt{2160/10}$
Divide to simplify: Divide $2160$ by $10$ to simplify under the radical. $\newline$ $2160 / 10 = 216$ $\newline$ $\sqrt{2160/10} = \sqrt{216}$
Factor into prime factors: Factor $216$ into its prime factors to simplify the radical. $\newline$ $216 = 2^3 \times 3^3$ $\newline$ $\sqrt{216} = \sqrt{2^3 \times 3^3}$
Separate prime factors: Use the property of square roots to separate the prime factors. $\newline$ $\sqrt{2^3 \times 3^3} = \sqrt{2^3} \times \sqrt{3^3}$
Simplify square roots: Simplify the square roots of the prime factors. $\sqrt{2^3} = 2\sqrt{2}$ and $\sqrt{3^3} = 3\sqrt{3}$ But here's a mistake, $\sqrt{3^3}$ should be $3\sqrt{3}$ , not $3\sqrt{3}$ .

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