Finite Math Examples

$\sqrt{150 x^{2}}$

Step 1

Rewrite $150 x^{2}$ as ${(5 x)}^{2} \cdot 6$ .

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Step 1.1

Factor $25$ out of $150$ .

$\sqrt{25 (6) x^{2}}$

Step 1.2

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2} \cdot 6 x^{2}}$

Step 1.3

Move $6$ .

$\sqrt{5^{2} x^{2} \cdot 6}$

Step 1.4

Rewrite $5^{2} x^{2}$ as ${(5 x)}^{2}$ .

$\sqrt{{(5 x)}^{2} \cdot 6}$

$\sqrt{{(5 x)}^{2} \cdot 6}$

Step 2

Pull terms out from under the radical.

$5 x \sqrt{6}$

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