Simplify square root of 567

$\sqrt{567}$

Step 1

Rewrite $567$ as $9^{2} \cdot 7$ .

Factor $81$ out of $567$ .

$\sqrt{81 (7)}$

Rewrite $81$ as $9^{2}$ .

$\sqrt{9^{2} \cdot 7}$

$\sqrt{9^{2} \cdot 7}$

Step 2

Pull terms out from under the radical.

$9 \sqrt{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$9 \sqrt{7}$

Decimal Form:

$23.81176179 \dots$

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