Solve 1/sqrt{1-0.6^2}

$$\frac { 1 } { \sqrt { 1 - 0.6 ^ { 2 } } }$$

Evaluate

$$1.25$$

Solution Steps

Calculate 0.6 to the power of 2 and get 0.36.

$$\frac{1}{\sqrt{1-0.36}}$$

Subtract 0.36 from 1 to get 0.64.

$$\frac{1}{\sqrt{0.64}}$$

Calculate the square root of 0.64 and get 0.8.

$$\frac{1}{0.8}$$

Expand \frac{1}{0.8} by multiplying both numerator and the denominator by 10.

$$\frac{10}{8}$$

Reduce the fraction \frac{10}{8} to lowest terms by extracting and canceling out 2.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$