Algebra Examples

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

Step 1

Apply the distributive property.

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

Step 2

Move $6$ to the left of $\sqrt{5}$ .

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

Step 3

Combine using the product rule for radicals.

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

Step 4

Multiply $5$ by $2$ .

$6 \sqrt{5} + \sqrt{10}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$6 \sqrt{5} + \sqrt{10}$

Decimal Form:

$16.57868552 \dots$

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