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

The solution to (sqrt(0.01+1)-1)/(0.01) is (sqrt(101)-10)/(0.1)

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

simplify

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

\frac{101 - 10}{0.1}

Decimal Notation

0.49875 \dots

Solution steps

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

Simplify

0.01 + 1 - 1 : \frac{101 - 10}{10}

= \frac{\frac{101 - 10}{10}}{0.01}

Apply the fraction rule:

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

= \frac{101 - 10}{10 \cdot 0.01}

Multiply the numbers:

10 \cdot 0.01 = 0.1

= \frac{101 - 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 (sqrt(101)-10)/(0.1)