Simplify square root of 240

$\sqrt{240}$

Step 1

Rewrite $240$ as $4^{2} \cdot 15$ .

Factor $16$ out of $240$ .

$\sqrt{16 (15)}$

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

$\sqrt{4^{2} \cdot 15}$

$\sqrt{4^{2} \cdot 15}$

Step 2

Pull terms out from under the radical.

$4 \sqrt{15}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt{15}$

Decimal Form:

$15.49193338 \dots$

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