Basic Math Examples

\sqrt{12} + \sqrt{15}

$\sqrt{12} + \sqrt{15}$

Step 1

Rewrite

12

$12$ as

2^{2} \cdot 3

$2^{2} \cdot 3$ .

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Step 1.1

Factor

4

$4$ out of

12

$12$ .

\sqrt{4 (3)} + \sqrt{15}

$\sqrt{4 (3)} + \sqrt{15}$

Step 1.2

Rewrite

4

$4$ as

2^{2}

$2^{2}$ .

\sqrt{2^{2} \cdot 3} + \sqrt{15}

$\sqrt{2^{2} \cdot 3} + \sqrt{15}$

\sqrt{2^{2} \cdot 3} + \sqrt{15}

$\sqrt{2^{2} \cdot 3} + \sqrt{15}$

Step 2

Pull terms out from under the radical.

2 \sqrt{3} + \sqrt{15}

$2 \sqrt{3} + \sqrt{15}$

Step 3

The result can be shown in multiple forms.

Exact Form:

2 \sqrt{3} + \sqrt{15}

$2 \sqrt{3} + \sqrt{15}$

Decimal Form:

7.33708496 \dots

$7.33708496 \dots$

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

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