Finite Math Examples

$\sqrt{\frac{{(0.487 x - 35.999)}^{2}}{6 - 2}}$

Step 1

Factor $0.001$ out of $0.487 x - 35.999$ .

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Step 1.1

Factor $0.001$ out of $0.487 x$ .

$\sqrt{\frac{{(0.001 (487 x) - 35.999)}^{2}}{6 - 2}}$

Step 1.2

Factor $0.001$ out of $- 35.999$ .

$\sqrt{\frac{{(0.001 (487 x) + 0.001 (- 35999))}^{2}}{6 - 2}}$

Step 1.3

Factor $0.001$ out of $0.001 (487 x) + 0.001 (- 35999)$ .

$\sqrt{\frac{{(0.001 (487 x - 35999))}^{2}}{6 - 2}}$

Step 2

Simplify the expression.

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Step 2.1

Apply the product rule to $0.001 (487 x - 35999)$ .

$\sqrt{\frac{{0.001}^{2} {(487 x - 35999)}^{2}}{6 - 2}}$

Step 2.2

Subtract $2$ from $6$ .

$\sqrt{\frac{{0.001}^{2} {(487 x - 35999)}^{2}}{4}}$

Step 2.3

Raise $0.001$ to the power of $2$ .

$\sqrt{\frac{0.000001 {(487 x - 35999)}^{2}}{4}}$

Step 3

Factor $0.000001$ out of $0.000001 {(487 x - 35999)}^{2}$ .

$\sqrt{\frac{0.000001 ({(487 x - 35999)}^{2})}{4}}$

Step 4

Factor $4$ out of $4$ .

$\sqrt{\frac{0.000001 ({(487 x - 35999)}^{2})}{4 (1)}}$

Step 5

Separate fractions.

$\sqrt{\frac{0.000001}{4} \cdot \frac{{(487 x - 35999)}^{2}}{1}}$

Step 6

Divide $0.000001$ by $4$ .

$\sqrt{0.00000025 \frac{{(487 x - 35999)}^{2}}{1}}$

Step 7

Cancel the common factor of $0.00000025$ .

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Step 7.1

Factor $0.00000025$ out of $1$ .

$\sqrt{0.00000025 \frac{{(487 x - 35999)}^{2}}{0.00000025 \cdot 4000000}}$

Step 7.2

Cancel the common factor.

$\sqrt{0.00000025 \frac{{(487 x - 35999)}^{2}}{0.00000025 \cdot 4000000}}$

Step 7.3

Rewrite the expression.

$\sqrt{\frac{{(487 x - 35999)}^{2}}{4000000}}$

Step 8

Rewrite $4000000$ as $2000^{2}$ .

$\sqrt{\frac{{(487 x - 35999)}^{2}}{2000^{2}}}$

Step 9

Rewrite $\frac{{(487 x - 35999)}^{2}}{2000^{2}}$ as ${(\frac{487 x - 35999}{2000})}^{2}$ .

$\sqrt{{(\frac{487 x - 35999}{2000})}^{2}}$

Step 10

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

$\frac{487 x - 35999}{2000}$