Pre-Algebra Examples

$\sqrt{x^{3} y^{8}}$

Step 1

Rewrite $x^{3} y^{8}$ as ${(x y^{4})}^{2} x$ .

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Step 1.1

Factor out $x^{2}$ .

$\sqrt{x^{2} x y^{8}}$

Step 1.2

Rewrite $y^{8}$ as ${(y^{4})}^{2}$ .

$\sqrt{x^{2} x {(y^{4})}^{2}}$

Step 1.3

Move $x$ .

$\sqrt{x^{2} {(y^{4})}^{2} x}$

Step 1.4

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

$\sqrt{{(x y^{4})}^{2} x}$

Step 2

Pull terms out from under the radical.

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