Simplify square root of 480

$\sqrt{480}$

Step 1

Rewrite $480$ as $4^{2} \cdot 30$ .

Factor $16$ out of $480$ .

$\sqrt{16 (30)}$

Rewrite $16$ as $4^{2}$ .

$\sqrt{4^{2} \cdot 30}$

$\sqrt{4^{2} \cdot 30}$

Step 2

Pull terms out from under the radical.

$4 \sqrt{30}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt{30}$

Decimal Form:

$21.90890230 \dots$

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