Basic Math Examples

$\sqrt[3]{125 x^{5} y^{9} z^{2}}$

Step 1

Rewrite $125 x^{5} y^{9} z^{2}$ as ${(5 x y^{3})}^{3} (x^{2} z^{2})$ .

Tap for more steps...

Step 1.1

Rewrite $125$ as $5^{3}$ .

$\sqrt[3]{5^{3} x^{5} y^{9} z^{2}}$

Step 1.2

Factor out $x^{3}$ .

$\sqrt[3]{5^{3} (x^{3} x^{2}) y^{9} z^{2}}$

Step 1.3

Rewrite $y^{9}$ as ${(y^{3})}^{3}$ .

$\sqrt[3]{5^{3} (x^{3} x^{2}) {(y^{3})}^{3} z^{2}}$

Step 1.4

Move $x^{2}$ .

$\sqrt[3]{5^{3} (x^{3}) {(y^{3})}^{3} x^{2} z^{2}}$

Step 1.5

Rewrite $5^{3} (x^{3}) {(y^{3})}^{3}$ as ${(5 x y^{3})}^{3}$ .

$\sqrt[3]{{(5 x y^{3})}^{3} x^{2} z^{2}}$

Step 1.6

Add parentheses.

$\sqrt[3]{{(5 x y^{3})}^{3} (x^{2} z^{2})}$

Step 2

Pull terms out from under the radical.

$5 x y^{3} \sqrt[3]{x^{2} z^{2}}$