Simplify: $\sqrt{180}$

\sqrt{5}

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2 \sqrt{5}

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3 \sqrt{5}

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6 \sqrt{5}

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Solution

The correct option is D $(6 \sqrt{5})$
The value of $\sqrt{180}$ $= \sqrt{36 \times 5}$
$= \sqrt{36} \times \sqrt{5}$ [Since, $\sqrt{a b} = \sqrt{a} \times \sqrt{b}$ ]
$= \sqrt{6^{2}} \times 5$
$= 6 \sqrt{5}$ [since, $\sqrt{36} = 6$ ]
Hence, the simplified value of the given expression is $6 \sqrt{5}$

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