Algebra Examples

$\sqrt[3]{27 x^{2} y^{3} z^{4}}$

Step 1

Rewrite $27 x^{2} y^{3} z^{4}$ as ${(3 y z)}^{3} (x^{2} z)$ .

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Step 1.1

Rewrite $27$ as $3^{3}$ .

$\sqrt[3]{3^{3} x^{2} y^{3} z^{4}}$

Step 1.2

Factor out $z^{3}$ .

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

Step 1.3

Move $x^{2}$ .

$\sqrt[3]{3^{3} y^{3} z^{3} x^{2} z}$

Step 1.4

Rewrite $3^{3} y^{3} z^{3}$ as ${(3 y z)}^{3}$ .

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

Step 1.5

Add parentheses.

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

Step 2

Pull terms out from under the radical.

$3 y z \sqrt[3]{x^{2} z}$