Algebra Examples

$\sqrt[4]{2 x^{6} y^{8} z}$

Step 1

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

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Step 1.1

Factor out $x^{4}$ .

$\sqrt[4]{2 (x^{4} x^{2}) y^{8} z}$

Step 1.2

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

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

Step 1.3

Move $x^{2}$ .

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

Step 1.4

Move $2$ .

$\sqrt[4]{x^{4} {(y^{2})}^{4} \cdot 2 x^{2} z}$

Step 1.5

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

$\sqrt[4]{{(x y^{2})}^{4} \cdot 2 x^{2} z}$

Step 1.6

Add parentheses.

$\sqrt[4]{{(x y^{2})}^{4} \cdot 2 (x^{2} z)}$

Step 1.7

Add parentheses.

$\sqrt[4]{{(x y^{2})}^{4} \cdot (2 x^{2} z)}$

Step 2

Pull terms out from under the radical.

$x y^{2} \sqrt[4]{2 x^{2} z}$