Simplify square root of 432

$\sqrt{432}$

Step 1

Rewrite $432$ as $12^{2} \cdot 3$ .

Factor $144$ out of $432$ .

$\sqrt{144 (3)}$

Rewrite $144$ as $12^{2}$ .

$\sqrt{12^{2} \cdot 3}$

$\sqrt{12^{2} \cdot 3}$

Step 2

Pull terms out from under the radical.

$12 \sqrt{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$12 \sqrt{3}$

Decimal Form:

$20.78460969 \dots$

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