Algebra Examples

$\sqrt{a^{2} b} \cdot \sqrt{a^{2} b^{2} x}$

Step 1

Pull terms out from under the radical.

$a \sqrt{b} \cdot \sqrt{a^{2} b^{2} x}$

Step 2

Rewrite $a^{2} b^{2}$ as ${(a b)}^{2}$ .

$a \sqrt{b} \cdot \sqrt{{(a b)}^{2} x}$

Step 3

Pull terms out from under the radical.

$a \sqrt{b} \cdot (a b \sqrt{x})$

Step 4

Multiply $a$ by $a$ by adding the exponents.

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Step 4.1

Move $a$ .

$a \cdot a \sqrt{b} \cdot (b \sqrt{x})$

Step 4.2

Multiply $a$ by $a$ .

$a^{2} \sqrt{b} \cdot (b \sqrt{x})$

$a^{2} \sqrt{b} \cdot (b \sqrt{x})$

Step 5

Combine using the product rule for radicals.

$a^{2} b \sqrt{b x}$

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