Simplify square root of 343

$\sqrt{343}$

Step 1

Rewrite $343$ as $7^{2} \cdot 7$ .

Factor $49$ out of $343$ .

$\sqrt{49 (7)}$

Rewrite $49$ as $7^{2}$ .

$\sqrt{7^{2} \cdot 7}$

$\sqrt{7^{2} \cdot 7}$

Step 2

Pull terms out from under the radical.

$7 \sqrt{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$7 \sqrt{7}$

Decimal Form:

$18.52025917 \dots$

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