Evaluate square root of 60

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Algebra

$\sqrt{60}$

Rewrite $60$ as $2^{2} \cdot 15$ .

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Factor $4$ out of $60$ .

$\sqrt{4 (15)}$

Rewrite $4$ as $2^{2}$ .

$\sqrt{2^{2} \cdot 15}$

Pull terms out from under the radical.

$2 \sqrt{15}$

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{15}$

Decimal Form:

$7.74596669 \dots$

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