Basic Math Examples

$\sqrt{49 a} + \sqrt{4 a^{3}}$

Step 1

Rewrite $49$ as $7^{2}$ .

$\sqrt{7^{2} a} + \sqrt{4 a^{3}}$

Step 2

Pull terms out from under the radical.

$7 \sqrt{a} + \sqrt{4 a^{3}}$

Step 3

Rewrite $4 a^{3}$ as ${(2 a)}^{2} a$ .

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Step 3.1

Rewrite $4$ as $2^{2}$ .

$7 \sqrt{a} + \sqrt{2^{2} a^{3}}$

Step 3.2

Factor out $a^{2}$ .

$7 \sqrt{a} + \sqrt{2^{2} (a^{2} a)}$

Step 3.3

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

$7 \sqrt{a} + \sqrt{{(2 a)}^{2} a}$

$7 \sqrt{a} + \sqrt{{(2 a)}^{2} a}$

Step 4

Pull terms out from under the radical.

$7 \sqrt{a} + 2 a \sqrt{a}$

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