Calculus Examples

$\frac{| 3 (0) + 2 (5) + 6 (0) - 38 |}{\sqrt{9 + 4 + 36}}$

Step 1

Simplify the numerator.

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Step 1.1

Multiply $3$ by $0$ .

$\frac{| 0 + 2 (5) + 6 (0) - 38 |}{\sqrt{9 + 4 + 36}}$

Step 1.2

Multiply $2$ by $5$ .

$\frac{| 0 + 10 + 6 (0) - 38 |}{\sqrt{9 + 4 + 36}}$

Step 1.3

Multiply $6$ by $0$ .

$\frac{| 0 + 10 + 0 - 38 |}{\sqrt{9 + 4 + 36}}$

Step 1.4

Add $0$ and $10$ .

$\frac{| 10 + 0 - 38 |}{\sqrt{9 + 4 + 36}}$

Step 1.5

Add $10$ and $0$ .

$\frac{| 10 - 38 |}{\sqrt{9 + 4 + 36}}$

Step 1.6

Subtract $38$ from $10$ .

$\frac{| - 28 |}{\sqrt{9 + 4 + 36}}$

Step 1.7

The absolute value is the distance between a number and zero. The distance between $- 28$ and $0$ is $28$ .

$\frac{28}{\sqrt{9 + 4 + 36}}$

Step 2

Simplify the denominator.

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Step 2.1

Add $9$ and $4$ .

$\frac{28}{\sqrt{13 + 36}}$

Step 2.2

Add $13$ and $36$ .

$\frac{28}{\sqrt{49}}$

Step 2.3

Rewrite $49$ as $7^{2}$ .

$\frac{28}{\sqrt{7^{2}}}$

Step 2.4

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

$\frac{28}{7}$

Step 3

Divide $28$ by $7$ .

$4$