Algebra Examples

$2 \sqrt{5} (\sqrt{6} + 2)$

Step 1

Apply the distributive property.

$2 \sqrt{5} \sqrt{6} + 2 \sqrt{5} \cdot 2$

Step 2

Multiply $2 \sqrt{5} \sqrt{6}$ .

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Step 2.1

Combine using the product rule for radicals.

$2 \sqrt{6 \cdot 5} + 2 \sqrt{5} \cdot 2$

Step 2.2

Multiply $6$ by $5$ .

$2 \sqrt{30} + 2 \sqrt{5} \cdot 2$

$2 \sqrt{30} + 2 \sqrt{5} \cdot 2$

Step 3

Multiply $2$ by $2$ .

$2 \sqrt{30} + 4 \sqrt{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{30} + 4 \sqrt{5}$

Decimal Form:

$19.89872306 \dots$

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