Pre-Algebra Examples

$\sqrt{3 (7 - \sqrt{3}) + 9 \sqrt{3}}$

Step 1

Apply the distributive property.

$\sqrt{3 \cdot 7 + 3 (- \sqrt{3}) + 9 \sqrt{3}}$

Step 2

Multiply $3$ by $7$ .

$\sqrt{21 + 3 (- \sqrt{3}) + 9 \sqrt{3}}$

Step 3

Multiply $- 1$ by $3$ .

$\sqrt{21 - 3 \sqrt{3} + 9 \sqrt{3}}$

Step 4

Add $- 3 \sqrt{3}$ and $9 \sqrt{3}$ .

$\sqrt{21 + 6 \sqrt{3}}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt{21 + 6 \sqrt{3}}$

Decimal Form:

$5.60288361 \dots$

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