Pre-Algebra Examples

$(\sqrt{11} + 4) (\sqrt{11 - 4})$

Step 1

Subtract $4$ from $11$ .

$(\sqrt{11} + 4) \sqrt{7}$

Step 2

Apply the distributive property.

$\sqrt{11} \sqrt{7} + 4 \sqrt{7}$

Step 3

Combine using the product rule for radicals.

$\sqrt{11 \cdot 7} + 4 \sqrt{7}$

Step 4

Multiply $11$ by $7$ .

$\sqrt{77} + 4 \sqrt{7}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt{77} + 4 \sqrt{7}$

Decimal Form:

$19.35796963 \dots$

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