Simplify square root of 490

$\sqrt{490}$

Step 1

Rewrite $490$ as $7^{2} \cdot 10$ .

Factor $49$ out of $490$ .

$\sqrt{49 (10)}$

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

$\sqrt{7^{2} \cdot 10}$

$\sqrt{7^{2} \cdot 10}$

Step 2

Pull terms out from under the radical.

$7 \sqrt{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$7 \sqrt{10}$

Decimal Form:

$22.13594362 \dots$

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