Simplify square root of 540

$\sqrt{540}$

Step 1

Rewrite $540$ as $6^{2} \cdot 15$ .

Factor $36$ out of $540$ .

$\sqrt{36 (15)}$

Rewrite $36$ as $6^{2}$ .

$\sqrt{6^{2} \cdot 15}$

$\sqrt{6^{2} \cdot 15}$

Step 2

Pull terms out from under the radical.

$6 \sqrt{15}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$6 \sqrt{15}$

Decimal Form:

$23.23790007 \dots$

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