Simplify 3 square root of 20

$3 \sqrt{20}$

Step 1

Rewrite $20$ as $2^{2} \cdot 5$ .

Factor $4$ out of $20$ .

$3 \sqrt{4 (5)}$

Rewrite $4$ as $2^{2}$ .

$3 \sqrt{2^{2} \cdot 5}$

$3 \sqrt{2^{2} \cdot 5}$

Step 2

Pull terms out from under the radical.

$3 (2 \sqrt{5})$

Step 3

Multiply $2$ by $3$ .

$6 \sqrt{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$6 \sqrt{5}$

Decimal Form:

$13.41640786 \dots$

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