Evaluate -3 square root of 120

$- 3 \sqrt{120}$

Step 1

Rewrite $120$ as $2^{2} \cdot 30$ .

Factor $4$ out of $120$ .

$- 3 \sqrt{4 (30)}$

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

$- 3 \sqrt{2^{2} \cdot 30}$

$- 3 \sqrt{2^{2} \cdot 30}$

Step 2

Pull terms out from under the radical.

$- 3 (2 \sqrt{30})$

Step 3

Multiply $2$ by $- 3$ .

$- 6 \sqrt{30}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- 6 \sqrt{30}$

Decimal Form:

$- 32.86335345 \dots$

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