Finite Math Examples

$\frac{415428 - 500000}{\frac{466287}{\sqrt{40}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$(415428 - 500000) \frac{\sqrt{40}}{466287}$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite $40$ as $2^{2} \cdot 10$ .

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Step 2.1.1

Factor $4$ out of $40$ .

$(415428 - 500000) \frac{\sqrt{4 (10)}}{466287}$

Step 2.1.2

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

$(415428 - 500000) \frac{\sqrt{2^{2} \cdot 10}}{466287}$

Step 2.2

Pull terms out from under the radical.

$(415428 - 500000) \frac{2 \sqrt{10}}{466287}$

Step 3

Subtract $500000$ from $415428$ .

$- 84572 \frac{2 \sqrt{10}}{466287}$

Step 4

Multiply $- 84572 \frac{2 \sqrt{10}}{466287}$ .

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Step 4.1

Combine $- 84572$ and $\frac{2 \sqrt{10}}{466287}$ .

$\frac{- 84572 (2 \sqrt{10})}{466287}$

Step 4.2

Multiply $2$ by $- 84572$ .

$\frac{- 169144 \sqrt{10}}{466287}$

Step 5

Move the negative in front of the fraction.

$- \frac{169144 \sqrt{10}}{466287}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{169144 \sqrt{10}}{466287}$

Decimal Form:

$- 1.14710530 \dots$