Simplify square root of 120

$\sqrt{120}$

Step 1

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

Factor $4$ out of $120$ .

$\sqrt{4 (30)}$

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

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

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

Step 2

Pull terms out from under the radical.

$2 \sqrt{30}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{30}$

Decimal Form:

$10.95445115 \dots$

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