Simplify square root of 117

$\sqrt{117}$

Step 1

Rewrite $117$ as $3^{2} \cdot 13$ .

Factor $9$ out of $117$ .

$\sqrt{9 (13)}$

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

$\sqrt{3^{2} \cdot 13}$

$\sqrt{3^{2} \cdot 13}$

Step 2

Pull terms out from under the radical.

$3 \sqrt{13}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{13}$

Decimal Form:

$10.81665382 \dots$

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