Basic Math Examples

\sqrt{30} + \sqrt{40}

$\sqrt{30} + \sqrt{40}$

Step 1

Rewrite

$40$ as

$2^{2} \cdot 10$ .

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Step 1.1

Factor

$4$ out of

$40$ .

$\sqrt{30} + \sqrt{4 (10)}$

Step 1.2

Rewrite

$4$ as

$2^{2}$ .

$\sqrt{30} + \sqrt{2^{2} \cdot 10}$

$\sqrt{30} + \sqrt{2^{2} \cdot 10}$

Step 2

Pull terms out from under the radical.

$\sqrt{30} + 2 \sqrt{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt{30} + 2 \sqrt{10}$

Decimal Form:

$11.80178089 \dots$

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