Finite Math Examples

$\frac{110 - 100}{\frac{9.5}{\sqrt{20}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$(110 - 100) \frac{\sqrt{20}}{9.5}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Rewrite $20$ as $2^{2} \cdot 5$ .

Tap for more steps...

Step 2.1.1

Factor $4$ out of $20$ .

$(110 - 100) \frac{\sqrt{4 (5)}}{9.5}$

Step 2.1.2

Rewrite $4$ as $2^{2}$ .

$(110 - 100) \frac{\sqrt{2^{2} \cdot 5}}{9.5}$

Step 2.2

Pull terms out from under the radical.

$(110 - 100) \frac{2 \sqrt{5}}{9.5}$

Step 3

Subtract $100$ from $110$ .

$10 \frac{2 \sqrt{5}}{9.5}$

Step 4

Evaluate the root.

$10 \frac{2 \cdot 2.23606797}{9.5}$

Step 5

Multiply $2$ by $2.23606797$ .

$10 (\frac{4.47213595}{9.5})$

Step 6

Divide $4.47213595$ by $9.5$ .

$10 \cdot 0.47075115$

Step 7

Multiply $10$ by $0.47075115$ .

$4.70751153$