Simplify square root of 76

$\sqrt{76}$

Step 1

Rewrite $76$ as $2^{2} \cdot 19$ .

Factor $4$ out of $76$ .

$\sqrt{4 (19)}$

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

$\sqrt{2^{2} \cdot 19}$

$\sqrt{2^{2} \cdot 19}$

Step 2

Pull terms out from under the radical.

$2 \sqrt{19}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{19}$

Decimal Form:

$8.71779788 \dots$

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