Simplify square root of 27a

$\sqrt{27 a}$

Step 1

Rewrite $27 a$ as $3^{2} \cdot (3 a)$ .

Factor $9$ out of $27$ .

$\sqrt{9 (3) a}$

Rewrite $9$ as $3^{2}$ .

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

Add parentheses.

$\sqrt{3^{2} \cdot (3 a)}$

$\sqrt{3^{2} \cdot (3 a)}$

Step 2

Pull terms out from under the radical.

$3 \sqrt{3 a}$

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