What is (sqrt(-0.01+1)-1)/(-0.01) ?

The solution to (sqrt(-0.01+1)-1)/(-0.01) is -(3sqrt(11)-10)/(0.1)

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simplify (sqrt(-0.01+1)-1)/(-0.01)

simplify

\frac{- 0.01 + 1 - 1}{- 0.01}

- \frac{3 11 - 10}{0.1}

Decimal Notation

0.50125 \dots

Solution steps

\frac{- 0.01 + 1 - 1}{- 0.01}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{- 0.01 + 1 - 1}{0.01}

Simplify

- 0.01 + 1 - 1 : \frac{3 11 - 10}{10}

= - \frac{\frac{3 11 - 10}{10}}{0.01}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

\frac{\frac{3 11 - 10}{10}}{0.01} = \frac{3 11 - 10}{10 \cdot 0.01}

= - \frac{3 11 - 10}{10 \cdot 0.01}

Multiply the numbers:

10 \cdot 0.01 = 0.1

= - \frac{3 11 - 10}{0.1}

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What is (sqrt(-0.01+1)-1)/(-0.01) ?
The solution to (sqrt(-0.01+1)-1)/(-0.01) is -(3sqrt(11)-10)/(0.1)