Finite Math Examples

$a b = \sqrt{{(- 4 - 1)}^{2} + (- 4 + 2) \cdot 2}$

Step 1

Simplify.

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Step 1.1

Add $- 4$ and $2$ .

$a b = \sqrt{{(- 4 - 1)}^{2} - 2 \cdot 2}$

Step 1.2

Multiply $- 2$ by $2$ .

$a b = \sqrt{{(- 4 - 1)}^{2} - 4}$

Step 1.3

Subtract $1$ from $- 4$ .

$a b = \sqrt{{(- 5)}^{2} - 4}$

Step 2

Divide each term in $a b = \sqrt{{(- 5)}^{2} - 4}$ by $b$ and simplify.

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Step 2.1

Divide each term in $a b = \sqrt{{(- 5)}^{2} - 4}$ by $b$ .

$\frac{a b}{b} = \frac{\sqrt{{(- 5)}^{2} - 4}}{b}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $b$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{a b}{b} = \frac{\sqrt{{(- 5)}^{2} - 4}}{b}$

Step 2.2.1.2

Divide $a$ by $1$ .

$a = \frac{\sqrt{{(- 5)}^{2} - 4}}{b}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify the numerator.

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Step 2.3.1.1

Raise $- 5$ to the power of $2$ .

$a = \frac{\sqrt{25 - 4}}{b}$

Step 2.3.1.2

Subtract $4$ from $25$ .

$a = \frac{\sqrt{21}}{b}$