Precalculus Examples

$\sqrt[4]{48 x^{5}}$

Step 1

Rewrite $48 x^{5}$ as ${(2 x)}^{4} \cdot (3 x)$ .

Tap for more steps...

Step 1.1

Factor $16$ out of $48$ .

$\sqrt[4]{16 (3) x^{5}}$

Step 1.2

Rewrite $16$ as $2^{4}$ .

$\sqrt[4]{2^{4} \cdot 3 x^{5}}$

Step 1.3

Factor out $x^{4}$ .

$\sqrt[4]{2^{4} \cdot 3 (x^{4} x)}$

Step 1.4

Move $3$ .

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

Step 1.5

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

$\sqrt[4]{{(2 x)}^{4} \cdot 3 x}$

Step 1.6

Add parentheses.

$\sqrt[4]{{(2 x)}^{4} \cdot (3 x)}$

$\sqrt[4]{{(2 x)}^{4} \cdot (3 x)}$

Step 2

Pull terms out from under the radical.

$2 x \sqrt[4]{3 x}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$