Algebra Examples

$\sqrt{36 a^{2} + 14 a^{2}}$

Step 1

Add $36 a^{2}$ and $14 a^{2}$ .

$\sqrt{50 a^{2}}$

Step 2

Rewrite $50 a^{2}$ as ${(5 a)}^{2} \cdot 2$ .

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Step 2.1

Factor $25$ out of $50$ .

$\sqrt{25 (2) a^{2}}$

Step 2.2

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

$\sqrt{5^{2} \cdot 2 a^{2}}$

Step 2.3

Move $2$ .

$\sqrt{5^{2} a^{2} \cdot 2}$

Step 2.4

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

$\sqrt{{(5 a)}^{2} \cdot 2}$

$\sqrt{{(5 a)}^{2} \cdot 2}$

Step 3

Pull terms out from under the radical.

$5 a \sqrt{2}$

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