Simplify square root of 63

$\sqrt{63}$

Step 1

Rewrite $63$ as $3^{2} \cdot 7$ .

Factor $9$ out of $63$ .

$\sqrt{9 (7)}$

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2} \cdot 7}$

$\sqrt{3^{2} \cdot 7}$

Step 2

Pull terms out from under the radical.

$3 \sqrt{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{7}$

Decimal Form:

$7.93725393 \dots$

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