Simplify 3 square root of 147

$3 \sqrt{147}$

Step 1

Rewrite $147$ as $7^{2} \cdot 3$ .

Factor $49$ out of $147$ .

$3 \sqrt{49 (3)}$

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

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

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

Step 2

Pull terms out from under the radical.

$3 (7 \sqrt{3})$

Step 3

Multiply $7$ by $3$ .

$21 \sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$21 \sqrt{3}$

Decimal Form:

$36.37306695 \dots$

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