Algebra Examples

$\sqrt{4 x^{6}} \cdot \sqrt[3]{8 x^{2}}$

Step 1

Rewrite $4 x^{6}$ as ${(2 x^{3})}^{2}$ .

$\sqrt{{(2 x^{3})}^{2}} \cdot \sqrt[3]{8 x^{2}}$

Step 2

Pull terms out from under the radical, assuming positive real numbers.

$2 x^{3} \cdot \sqrt[3]{8 x^{2}}$

Step 3

Rewrite $8$ as $2^{3}$ .

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

Step 4

Pull terms out from under the radical.

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

Step 5

Multiply $2$ by $2$ .

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