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

The solution to (-0.01)/(sqrt(-0.01+1)-1) is 1.99498…

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

simplify

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

1.99498 \dots

Solution steps

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

Add/Subtract the numbers:

- 0.01 + 1 = 0.99

= \frac{- 0.01}{0.99 - 1}

Apply the fraction rule:

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

0.99 - 1 = - (1 - 0.99)

= \frac{0.01}{1 - 0.99}

0.99 = 0.99498 \dots

= \frac{0.01}{1 - 0.99498 \dots}

Subtract the numbers:

1 - 0.99498 \dots = 0.00501 \dots

= \frac{0.01}{0.00501 \dots}

Divide the numbers:

\frac{0.01}{0.00501 \dots} = 1.99498 \dots

= 1.99498 \dots

\frac{1}{2 x + 1}

- 27 m^{4} + 3 m^{2} - 9 mnk

\frac{y}{e ^{- y}}

\frac{p ^{3}}{p ^{7}}

- \frac{3}{4} + \frac{1}{6}

What is (-0.01)/(sqrt(-0.01+1)-1) ?
The solution to (-0.01)/(sqrt(-0.01+1)-1) is 1.99498…