Basic Math Examples

$2 + 3 \sqrt{6} + (5 - \sqrt{54})$

Step 1

Remove parentheses.

$2 + 3 \sqrt{6} + 5 - \sqrt{54}$

Step 2

Simplify each term.

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Step 2.1

Rewrite $54$ as $3^{2} \cdot 6$ .

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Step 2.1.1

Factor $9$ out of $54$ .

$2 + 3 \sqrt{6} + 5 - \sqrt{9 (6)}$

Step 2.1.2

Rewrite $9$ as $3^{2}$ .

$2 + 3 \sqrt{6} + 5 - \sqrt{3^{2} \cdot 6}$

$2 + 3 \sqrt{6} + 5 - \sqrt{3^{2} \cdot 6}$

Step 2.2

Pull terms out from under the radical.

$2 + 3 \sqrt{6} + 5 - (3 \sqrt{6})$

Step 2.3

Multiply $3$ by $- 1$ .

$2 + 3 \sqrt{6} + 5 - 3 \sqrt{6}$

$2 + 3 \sqrt{6} + 5 - 3 \sqrt{6}$

Step 3

Simplify by adding terms.

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Step 3.1

Add $2$ and $5$ .

$7 + 3 \sqrt{6} - 3 \sqrt{6}$

Step 3.2

Subtract $3 \sqrt{6}$ from $3 \sqrt{6}$ .

$7 + 0$

Step 3.3

Add $7$ and $0$ .

$7$

$7$

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