Solve 20sqrt{0,01}-1/24sqrt{144}

$$20 \sqrt { 0,01 } - \frac { 1 } { 24 } \sqrt { 144 }$$

Evaluate

$$1,5$$

Solution Steps

Calculate the square root of 0,01 and get 0,1.

$$20\times 0,1-\frac{1}{24}\sqrt{144}$$

Multiply 20 and 0,1 to get 2.

$$2-\frac{1}{24}\sqrt{144}$$

Calculate the square root of 144 and get 12.

$$2-\frac{1}{24}\times 12$$

Express -\frac{1}{24}\times 12 as a single fraction.

$$2+\frac{-12}{24}$$

Reduce the fraction \frac{-12}{24} to lowest terms by extracting and canceling out 12.

$$2-\frac{1}{2}$$

Convert 2 to fraction \frac{4}{2}.

$$\frac{4}{2}-\frac{1}{2}$$

Since \frac{4}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-1}{2}$$

Subtract 1 from 4 to get 3.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$