Algebra Examples

$\sqrt{45 x}$

Step 1

Rewrite $45 x$ as $3^{2} \cdot (5 x)$ .

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Step 1.1

Factor $9$ out of $45$ .

$\sqrt{9 (5) x}$

Step 1.2

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2} \cdot 5 x}$

Step 1.3

Add parentheses.

$\sqrt{3^{2} \cdot (5 x)}$

$\sqrt{3^{2} \cdot (5 x)}$

Step 2

Pull terms out from under the radical.

$3 \sqrt{5 x}$

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