Solve sqrt[3]{|1-18/27|}

$$\sqrt[ 3 ] { | 1 - 1 \frac { 8 } { 27 } | }$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Multiply 1 and 27 to get 27.

$$\sqrt[3]{|1-\frac{27+8}{27}|}$$

Add 27 and 8 to get 35.

$$\sqrt[3]{|1-\frac{35}{27}|}$$

Subtract \frac{35}{27} from 1 to get -\frac{8}{27}.

$$\sqrt[3]{|-\frac{8}{27}|}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{8}{27} is \frac{8}{27}.

$$\sqrt[3]{\frac{8}{27}}$$

Calculate \sqrt[3]{\frac{8}{27}} and get \frac{2}{3}.

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

Factor

$$\frac{2}{3} = 0.6666666666666666$$