Basic Math Examples

$\sqrt{3 (9 - \sqrt{3}) + 2 \sqrt{3}}$

Step 1

Apply the distributive property.

$\sqrt{3 \cdot 9 + 3 (- \sqrt{3}) + 2 \sqrt{3}}$

Step 2

Multiply.

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Step 2.1

Multiply $3$ by $9$ .

$\sqrt{27 + 3 (- \sqrt{3}) + 2 \sqrt{3}}$

Step 2.2

Multiply $- 1$ by $3$ .

$\sqrt{27 - 3 \sqrt{3} + 2 \sqrt{3}}$

$\sqrt{27 - 3 \sqrt{3} + 2 \sqrt{3}}$

Step 3

Add $- 3 \sqrt{3}$ and $2 \sqrt{3}$ .

$\sqrt{27 - \sqrt{3}}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{27 - \sqrt{3}}$

Decimal Form:

$5.02672350 \dots$

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