Evaluate square root of 637

$\sqrt{637}$

Step 1

Rewrite $637$ as $7^{2} \cdot 13$ .

Factor $49$ out of $637$ .

$\sqrt{49 (13)}$

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

$\sqrt{7^{2} \cdot 13}$

$\sqrt{7^{2} \cdot 13}$

Step 2

Pull terms out from under the radical.

$7 \sqrt{13}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$7 \sqrt{13}$

Decimal Form:

$25.23885892 \dots$

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