Pre-Algebra Examples

$\sqrt{7 (9 - \sqrt{7}) + 4 \sqrt{7}}$

Step 1

Apply the distributive property.

$\sqrt{7 \cdot 9 + 7 (- \sqrt{7}) + 4 \sqrt{7}}$

Step 2

Multiply $7$ by $9$ .

$\sqrt{63 + 7 (- \sqrt{7}) + 4 \sqrt{7}}$

Step 3

Multiply $- 1$ by $7$ .

$\sqrt{63 - 7 \sqrt{7} + 4 \sqrt{7}}$

Step 4

Add $- 7 \sqrt{7}$ and $4 \sqrt{7}$ .

$\sqrt{63 - 3 \sqrt{7}}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt{63 - 3 \sqrt{7}}$

Decimal Form:

$7.42042762 \dots$

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