Simplify (2 square root of x)^3

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

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 ${(x^{3})}^{\frac{1}{2}}$ .

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

Step 4

Factor out $x^{2}$ .

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

Step 5

Pull terms out from under the radical.

$8 x \sqrt{x}$