Basic Math Examples

$\frac{\sqrt{81} + 9}{37 + 2 (18 - 9) - 6^{2} - 10}$

Step 1

Simplify the numerator.

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Step 1.1

Rewrite $81$ as $9^{2}$ .

$\frac{\sqrt{9^{2}} + 9}{37 + 2 (18 - 9) - 6^{2} - 10}$

Step 1.2

Pull terms out from under the radical, assuming positive real numbers.

$\frac{9 + 9}{37 + 2 (18 - 9) - 6^{2} - 10}$

Step 1.3

Add $9$ and $9$ .

$\frac{18}{37 + 2 (18 - 9) - 6^{2} - 10}$

Step 2

Simplify the denominator.

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Step 2.1

Subtract $9$ from $18$ .

$\frac{18}{37 + 2 \cdot 9 - 6^{2} - 10}$

Step 2.2

Multiply $2$ by $9$ .

$\frac{18}{37 + 18 - 6^{2} - 10}$

Step 2.3

Raise $6$ to the power of $2$ .

$\frac{18}{37 + 18 - 1 \cdot 36 - 10}$

Step 2.4

Multiply $- 1$ by $36$ .

$\frac{18}{37 + 18 - 36 - 10}$

Step 2.5

Add $37$ and $18$ .

$\frac{18}{55 - 36 - 10}$

Step 2.6

Subtract $36$ from $55$ .

$\frac{18}{19 - 10}$

Step 2.7

Subtract $10$ from $19$ .

$\frac{18}{9}$

Step 3

Divide $18$ by $9$ .

$2$