Pre-Algebra Examples

$6 \sqrt{u^{3} v} + 8 u \sqrt{u v}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $u^{3} v$ as $u^{2} (u v)$ .

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Step 1.1.1

Factor out $u^{2}$ .

$6 \sqrt{u^{2} u v} + 8 u \sqrt{u v}$

Step 1.1.2

Add parentheses.

$6 \sqrt{u^{2} (u v)} + 8 u \sqrt{u v}$

$6 \sqrt{u^{2} (u v)} + 8 u \sqrt{u v}$

Step 1.2

Pull terms out from under the radical.

$6 u \sqrt{u v} + 8 u \sqrt{u v}$

$6 u \sqrt{u v} + 8 u \sqrt{u v}$

Step 2

Add $6 u \sqrt{u v}$ and $8 u \sqrt{u v}$ .

$14 u \sqrt{u v}$

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