Solve 1/4(sqrt{0.64}+sqrt{0.36}-sqrt{6.4*3.6})=

$$\frac{ 1 }{ 4 } ( \sqrt{ 0.64 } + \sqrt{ 0.36 } - \sqrt{ 6.4 \times 3.6 } )=$$

Evaluate

$$-0.85$$

Solution Steps

Calculate the square root of 0.64 and get 0.8.

$$\frac{1}{4}\left(0.8+\sqrt{0.36}-\sqrt{6.4\times 3.6}\right)$$

Calculate the square root of 0.36 and get 0.6.

$$\frac{1}{4}\left(0.8+0.6-\sqrt{6.4\times 3.6}\right)$$

Add 0.8 and 0.6 to get 1.4.

$$\frac{1}{4}\left(1.4-\sqrt{6.4\times 3.6}\right)$$

Multiply 6.4 and 3.6 to get 23.04.

$$\frac{1}{4}\left(1.4-\sqrt{23.04}\right)$$

Calculate the square root of 23.04 and get 4.8.

$$\frac{1}{4}\left(1.4-4.8\right)$$

Subtract 4.8 from 1.4 to get -3.4.

$$\frac{1}{4}\left(-3.4\right)$$

Convert decimal number -3.4 to fraction -\frac{34}{10}. Reduce the fraction -\frac{34}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{4}\left(-\frac{17}{5}\right)$$

Multiply \frac{1}{4} times -\frac{17}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-17\right)}{4\times 5}$$

Do the multiplications in the fraction \frac{1\left(-17\right)}{4\times 5}.

$$\frac{-17}{20}$$

Fraction \frac{-17}{20} can be rewritten as -\frac{17}{20} by extracting the negative sign.

$$-\frac{17}{20}$$

Factor

$$-0.85$$