Solve frac{sqrt[3]{8}}{9}div2sqrt{2}*3/4

$$\frac { \sqrt[ 3 ] { 8 } } { 9 } \div 2 \sqrt { 2 } \times \frac { 3 } { 4 }$$

Evaluate

$$\frac{\sqrt{2}}{12}\approx 0.11785113$$

Solution Steps

Express \frac{\frac{\sqrt[3]{8}}{9}}{2} as a single fraction.

$$\frac{\sqrt[3]{8}}{9\times 2}\sqrt{2}\times \frac{3}{4}$$

Calculate \sqrt[3]{8} and get 2.

$$\frac{2}{9\times 2}\sqrt{2}\times \frac{3}{4}$$

Multiply 9 and 2 to get 18.

$$\frac{2}{18}\sqrt{2}\times \frac{3}{4}$$

Reduce the fraction \frac{2}{18} to lowest terms by extracting and canceling out 2.

$$\frac{1}{9}\sqrt{2}\times \frac{3}{4}$$

Multiply \frac{1}{9} and \frac{3}{4} to get \frac{1}{12}.

$$\frac{1}{12}\sqrt{2}$$