Solve 4/3*sqrt{4}*2/3

$$\frac { 4 } { 3 } \times \sqrt { 4 } \times \frac { 2 } { 3 }$$

Evaluate

$$\frac{16}{9}\approx 1.777777778$$

Solution Steps

Calculate the square root of 4 and get 2.

$$\frac{4}{3}\times 2\times \frac{2}{3}$$

Express \frac{4}{3}\times 2 as a single fraction.

$$\frac{4\times 2}{3}\times \frac{2}{3}$$

Multiply 4 and 2 to get 8.

$$\frac{8}{3}\times \frac{2}{3}$$

Multiply \frac{8}{3} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 2}{3\times 3}$$

Do the multiplications in the fraction \frac{8\times 2}{3\times 3}.

$$\frac{16}{9}$$

Factor

$$\frac{2 ^ {4}}{3 ^ {2}} = 1\frac{7}{9} = 1.7777777777777777$$