Basic Math Examples

$\sqrt{5} (\sqrt{2} + 4 \sqrt{2})$

Step 1

Add $\sqrt{2}$ and $4 \sqrt{2}$ .

$\sqrt{5} (5 \sqrt{2})$

Step 2

Multiply $\sqrt{5} (5 \sqrt{2})$ .

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Step 2.1

Combine using the product rule for radicals.

$5 \sqrt{5 \cdot 2}$

Step 2.2

Multiply $5$ by $2$ .

$5 \sqrt{10}$

$5 \sqrt{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt{10}$

Decimal Form:

$15.81138830 \dots$

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