Algebra Examples

$\sqrt{4 x} \cdot \sqrt{x + 2}$

Step 1

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

$\sqrt{2^{2} x} \cdot \sqrt{x + 2}$

Step 2

Pull terms out from under the radical.

$2 \sqrt{x} \cdot \sqrt{x + 2}$

Step 3

Combine using the product rule for radicals.

$2 \sqrt{(x + 2) x}$

Step 4

Reorder factors in $2 \sqrt{(x + 2) x}$ .

$2 \sqrt{x (x + 2)}$

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