Solve 3/4*sqrt{2.56}

$$\frac { 3 } { 4 } \cdot \sqrt { 2.56 }$$

Evaluate

$$1.2$$

Solution Steps

Calculate the square root of 2.56 and get 1.6.

$$\frac{3}{4}\times 1.6$$

Convert decimal number 1.6 to fraction \frac{16}{10}. Reduce the fraction \frac{16}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{4}\times \frac{8}{5}$$

Multiply \frac{3}{4} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 8}{4\times 5}$$

Do the multiplications in the fraction \frac{3\times 8}{4\times 5}.

$$\frac{24}{20}$$

Reduce the fraction \frac{24}{20} to lowest terms by extracting and canceling out 4.

$$\frac{6}{5}$$

Factor

$$\frac{2 \cdot 3}{5} = 1\frac{1}{5} = 1.2$$