Simplify 3 square root of 63

$3 \sqrt{63}$

Step 1

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

Factor $9$ out of $63$ .

$3 \sqrt{9 (7)}$

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

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

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

Step 2

Pull terms out from under the radical.

$3 (3 \sqrt{7})$

Step 3

Multiply $3$ by $3$ .

$9 \sqrt{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$9 \sqrt{7}$

Decimal Form:

$23.81176179 \dots$

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