Evaluate square root of 333

$\sqrt{333}$

Step 1

Rewrite $333$ as $3^{2} \cdot 37$ .

Factor $9$ out of $333$ .

$\sqrt{9 (37)}$

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

$\sqrt{3^{2} \cdot 37}$

$\sqrt{3^{2} \cdot 37}$

Step 2

Pull terms out from under the radical.

$3 \sqrt{37}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{37}$

Decimal Form:

$18.24828759 \dots$

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