Algebra Examples

$\frac{\sqrt[3]{6 p^{2}}}{\sqrt[3]{2 p}}$

Step 1

Combine $\sqrt[3]{6 p^{2}}$ and $\sqrt[3]{2 p}$ into a single radical.

$\sqrt[3]{\frac{6 p^{2}}{2 p}}$

Step 2

Reduce the expression $\frac{6 p^{2}}{2 p}$ by cancelling the common factors.

Tap for more steps...

Step 2.1

Factor $2$ out of $6 p^{2}$ .

$\sqrt[3]{\frac{2 (3 p^{2})}{2 p}}$

Step 2.2

Factor $2$ out of $2 p$ .

$\sqrt[3]{\frac{2 (3 p^{2})}{2 (p)}}$

Step 2.3

Cancel the common factor.

$\sqrt[3]{\frac{2 (3 p^{2})}{2 p}}$

Step 2.4

Rewrite the expression.

$\sqrt[3]{\frac{3 p^{2}}{p}}$

Step 3

Cancel the common factor of $p^{2}$ and $p$ .

Tap for more steps...

Step 3.1

Factor $p$ out of $3 p^{2}$ .

$\sqrt[3]{\frac{p (3 p)}{p}}$

Step 3.2

Cancel the common factors.

Tap for more steps...

Step 3.2.1

Raise $p$ to the power of $1$ .

$\sqrt[3]{\frac{p (3 p)}{p^{1}}}$

Step 3.2.2

Factor $p$ out of $p^{1}$ .

$\sqrt[3]{\frac{p (3 p)}{p \cdot 1}}$

Step 3.2.3

Cancel the common factor.

$\sqrt[3]{\frac{p (3 p)}{p \cdot 1}}$

Step 3.2.4

Rewrite the expression.

$\sqrt[3]{\frac{3 p}{1}}$

Step 3.2.5

Divide $3 p$ by $1$ .

$\sqrt[3]{3 p}$