Algebra Examples

${(2 \sqrt{x})}^{3}$

Step 1

Apply the product rule to $2 \sqrt{x}$ .

$2^{3} {\sqrt{x}}^{3}$

Step 2

Raise $2$ to the power of $3$ .

$8 {\sqrt{x}}^{3}$

Step 3

Rewrite ${\sqrt{x}}^{3}$ as $\sqrt{x^{3}}$ .

$8 \sqrt{x^{3}}$

Step 4

Factor out $x^{2}$ .

$8 \sqrt{x^{2} x}$

Step 5

Pull terms out from under the radical.

$8 x \sqrt{x}$

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