Evaluate square root of 369

$\sqrt{369}$

Step 1

Rewrite $369$ as $3^{2} \cdot 41$ .

Factor $9$ out of $369$ .

$\sqrt{9 (41)}$

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

$\sqrt{3^{2} \cdot 41}$

$\sqrt{3^{2} \cdot 41}$

Step 2

Pull terms out from under the radical.

$3 \sqrt{41}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{41}$

Decimal Form:

$19.20937271 \dots$

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