Finite Math Examples

$20 \sqrt{\frac{120}{3} - 1}$

Step 1

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$20 \sqrt{\frac{120}{3} - 1 \cdot \frac{3}{3}}$

Step 2

Combine $- 1$ and $\frac{3}{3}$ .

$20 \sqrt{\frac{120}{3} + \frac{- 1 \cdot 3}{3}}$

Step 3

Combine the numerators over the common denominator.

$20 \sqrt{\frac{120 - 1 \cdot 3}{3}}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $- 1$ by $3$ .

$20 \sqrt{\frac{120 - 3}{3}}$

Step 4.2

Subtract $3$ from $120$ .

$20 \sqrt{\frac{117}{3}}$

Step 5

Divide $117$ by $3$ .

$20 \sqrt{39}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$20 \sqrt{39}$

Decimal Form:

$124.89995996 \dots$