Pre-Algebra Examples

$3 \sqrt{6 x^{6} y^{8}}$

Step 1

Rewrite $6 x^{6} y^{8}$ as ${(x^{3} y^{4})}^{2} \cdot 6$ .

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Step 1.1

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

$3 \sqrt{6 {(x^{3})}^{2} y^{8}}$

Step 1.2

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

$3 \sqrt{6 {(x^{3})}^{2} {(y^{4})}^{2}}$

Step 1.3

Move $6$ .

$3 \sqrt{{(x^{3})}^{2} {(y^{4})}^{2} \cdot 6}$

Step 1.4

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

$3 \sqrt{{(x^{3} y^{4})}^{2} \cdot 6}$

Step 2

Pull terms out from under the radical.

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