Evaluate square root of 150

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Algebra

$\sqrt{150}$

Rewrite $150$ as $5^{2} \cdot 6$ .

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Factor $25$ out of $150$ .

$\sqrt{25 (6)}$

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2} \cdot 6}$

Pull terms out from under the radical.

$5 \sqrt{6}$

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt{6}$

Decimal Form:

$12.24744871 \dots$

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