Precalculus Examples

$\frac{- 1 - \sqrt{9.04}}{2 (- \frac{32}{3025})}$

Step 1

Simplify the denominator.

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Step 1.1

Multiply $- 1$ by $2$ .

$\frac{- 1 - \sqrt{9.04}}{- 2 (\frac{32}{3025})}$

Step 1.2

Combine $- 2$ and $\frac{32}{3025}$ .

$\frac{- 1 - \sqrt{9.04}}{\frac{- 2 \cdot 32}{3025}}$

Step 2

Simplify the expression.

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Step 2.1

Multiply $- 2$ by $32$ .

$\frac{- 1 - \sqrt{9.04}}{\frac{- 64}{3025}}$

Step 2.2

Move the negative in front of the fraction.

$\frac{- 1 - \sqrt{9.04}}{- \frac{64}{3025}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$(- 1 - \sqrt{9.04}) (- \frac{3025}{64})$

Step 4

Apply the distributive property.

$- 1 (- \frac{3025}{64}) - \sqrt{9.04} (- \frac{3025}{64})$

Step 5

Multiply $- 1 (- \frac{3025}{64})$ .

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Step 5.1

Multiply $- 1$ by $- 1$ .

$1 (\frac{3025}{64}) - \sqrt{9.04} (- \frac{3025}{64})$

Step 5.2

Multiply $\frac{3025}{64}$ by $1$ .

$\frac{3025}{64} - \sqrt{9.04} (- \frac{3025}{64})$

Step 6

Multiply $- \sqrt{9.04} (- \frac{3025}{64})$ .

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Step 6.1

Multiply $- 1$ by $- 1$ .

$\frac{3025}{64} + 1 \sqrt{9.04} \frac{3025}{64}$

Step 6.2

Multiply $\sqrt{9.04}$ by $1$ .

$\frac{3025}{64} + \sqrt{9.04} \frac{3025}{64}$

Step 6.3

Combine $\sqrt{9.04}$ and $\frac{3025}{64}$ .

$\frac{3025}{64} + \frac{\sqrt{9.04} \cdot 3025}{64}$

Step 7

Combine the numerators over the common denominator.

$\frac{3025 + \sqrt{9.04} \cdot 3025}{64}$

Step 8

Move $3025$ to the left of $\sqrt{9.04}$ .

$\frac{3025 + 3025 \sqrt{9.04}}{64}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{3025 + 3025 \sqrt{9.04}}{64}$

Decimal Form:

$189.37725482 \dots$