Finite Math Examples

$\sqrt{50 x^{5} y^{8}}$

Step 1

Rewrite $50 x^{5} y^{8}$ as ${(5 x^{2} y^{4})}^{2} \cdot (2 x)$ .

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Step 1.1

Factor $25$ out of $50$ .

$\sqrt{25 (2) x^{5} y^{8}}$

Step 1.2

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2} \cdot 2 x^{5} y^{8}}$

Step 1.3

Factor out $x^{4}$ .

$\sqrt{5^{2} \cdot 2 (x^{4} x) y^{8}}$

Step 1.4

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

$\sqrt{5^{2} \cdot 2 ({(x^{2})}^{2} x) y^{8}}$

Step 1.5

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

$\sqrt{5^{2} \cdot 2 ({(x^{2})}^{2} x) {(y^{4})}^{2}}$

Step 1.6

Move $x$ .

$\sqrt{5^{2} \cdot 2 ({(x^{2})}^{2}) {(y^{4})}^{2} x}$

Step 1.7

Move $2$ .

$\sqrt{(5^{2} ({(x^{2})}^{2})) {(y^{4})}^{2} \cdot 2 x}$

Step 1.8

Rewrite $(5^{2} ({(x^{2})}^{2})) {(y^{4})}^{2}$ as ${(5 x^{2} y^{4})}^{2}$ .

$\sqrt{{(5 x^{2} y^{4})}^{2} \cdot 2 x}$

Step 1.9

Add parentheses.

$\sqrt{{(5 x^{2} y^{4})}^{2} \cdot (2 x)}$

Step 2

Pull terms out from under the radical.

$5 x^{2} y^{4} \sqrt{2 x}$