Simplify square root of 261

$\sqrt{261}$

Step 1

Rewrite $261$ as $3^{2} \cdot 29$ .

Factor $9$ out of $261$ .

$\sqrt{9 (29)}$

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2} \cdot 29}$

$\sqrt{3^{2} \cdot 29}$

Step 2

Pull terms out from under the radical.

$3 \sqrt{29}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{29}$

Decimal Form:

$16.15549442 \dots$

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