Simplify square root of 392

$\sqrt{392}$

Step 1

Rewrite $392$ as $14^{2} \cdot 2$ .

Factor $196$ out of $392$ .

$\sqrt{196 (2)}$

Rewrite $196$ as $14^{2}$ .

$\sqrt{14^{2} \cdot 2}$

$\sqrt{14^{2} \cdot 2}$

Step 2

Pull terms out from under the radical.

$14 \sqrt{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$14 \sqrt{2}$

Decimal Form:

$19.79898987 \dots$

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