Pre-Algebra Examples

$3 \sqrt{216 x^{3} y}$

Step 1

Rewrite $216 x^{3} y$ as ${(6 x)}^{2} \cdot (6 x y)$ .

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Step 1.1

Factor $36$ out of $216$ .

$3 \sqrt{36 (6) x^{3} y}$

Step 1.2

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

$3 \sqrt{6^{2} \cdot 6 x^{3} y}$

Step 1.3

Factor out $x^{2}$ .

$3 \sqrt{6^{2} \cdot 6 (x^{2} x) y}$

Step 1.4

Move $6$ .

$3 \sqrt{6^{2} x^{2} \cdot 6 x y}$

Step 1.5

Rewrite $6^{2} x^{2}$ as ${(6 x)}^{2}$ .

$3 \sqrt{{(6 x)}^{2} \cdot 6 x y}$

Step 1.6

Add parentheses.

$3 \sqrt{{(6 x)}^{2} \cdot 6 (x y)}$

Step 1.7

Add parentheses.

$3 \sqrt{{(6 x)}^{2} \cdot (6 x y)}$

Step 2

Pull terms out from under the radical.

$3 (6 x \sqrt{6 x y})$

Step 3

Multiply $6$ by $3$ .

$18 x \sqrt{6 x y}$