Pre-Algebra Examples

$\sqrt{4 x^{6} y^{3}}$

Step 1

Rewrite $4 x^{6} y^{3}$ as ${(2 x^{3} y)}^{2} y$ .

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Step 1.1

Rewrite $4$ as $2^{2}$ .

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

Step 1.2

Rewrite $x^{6}$ as ${(x^{3})}^{2}$ .

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

Step 1.3

Factor out $y^{2}$ .

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

Step 1.4

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

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

Step 2

Pull terms out from under the radical.

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