Solve (sqrt{1-0.19}+0.3^2-6/25)*(-3)

$$( \sqrt { 1 - 0.19 } + 0.3 ^ { 2 } - \frac { 6 } { 25 } ) \cdot ( - 3 )$$

Evaluate

$$-2.25$$

Solution Steps

Subtract 0.19 from 1 to get 0.81.

$$\left(\sqrt{0.81}+0.3^{2}-\frac{6}{25}\right)\left(-3\right)$$

Calculate the square root of 0.81 and get 0.9.

$$\left(0.9+0.3^{2}-\frac{6}{25}\right)\left(-3\right)$$

Calculate 0.3 to the power of 2 and get 0.09.

$$\left(0.9+0.09-\frac{6}{25}\right)\left(-3\right)$$

Add 0.9 and 0.09 to get 0.99.

$$\left(0.99-\frac{6}{25}\right)\left(-3\right)$$

Convert decimal number 0.99 to fraction \frac{99}{100}.

$$\left(\frac{99}{100}-\frac{6}{25}\right)\left(-3\right)$$

Least common multiple of 100 and 25 is 100. Convert \frac{99}{100} and \frac{6}{25} to fractions with denominator 100.

$$\left(\frac{99}{100}-\frac{24}{100}\right)\left(-3\right)$$

Since \frac{99}{100} and \frac{24}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{99-24}{100}\left(-3\right)$$

Subtract 24 from 99 to get 75.

$$\frac{75}{100}\left(-3\right)$$

Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$\frac{3}{4}\left(-3\right)$$

Express \frac{3}{4}\left(-3\right) as a single fraction.

$$\frac{3\left(-3\right)}{4}$$

Multiply 3 and -3 to get -9.

$$\frac{-9}{4}$$

Fraction \frac{-9}{4} can be rewritten as -\frac{9}{4} by extracting the negative sign.

$$-\frac{9}{4}$$

Factor

$$-2.25$$