Simplify square root of 338

$\sqrt{338}$

Step 1

Rewrite $338$ as $13^{2} \cdot 2$ .

Factor $169$ out of $338$ .

$\sqrt{169 (2)}$

Rewrite $169$ as $13^{2}$ .

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

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

Step 2

Pull terms out from under the radical.

$13 \sqrt{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$13 \sqrt{2}$

Decimal Form:

$18.38477631 \dots$

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