Algebra Examples

$\sqrt{3 x^{18} y}$

Step 1

Rewrite $3 x^{18} y$ as ${(x^{3^{2}})}^{2} \cdot (3 y)$ .

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Step 1.1

Rewrite $x^{18}$ as ${(x^{9})}^{2}$ .

$\sqrt{3 {(x^{9})}^{2} y}$

Step 1.2

Reorder $3$ and ${(x^{9})}^{2}$ .

$\sqrt{{(x^{9})}^{2} \cdot 3 y}$

Step 1.3

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

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

Step 1.4

Add parentheses.

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

Step 2

Pull terms out from under the radical.

$| x^{3^{2}} | \sqrt{3 y}$

Step 3

Raise $3$ to the power of $2$ .

$| x^{9} | \sqrt{3 y}$