Solve 2sqrt[3]{27/sqrt{64}}-sqrt[3]{8/64}=

$$2 \sqrt[ 3 ] { \frac { 27 } { \sqrt { 64 } } } - \sqrt[ 3 ] { \frac { 8 } { 64 } } =$$

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Calculate the square root of 64 and get 8.

$$2\sqrt[3]{\frac{27}{8}}-\sqrt[3]{\frac{8}{64}}$$

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

$$2\times \frac{3}{2}-\sqrt[3]{\frac{8}{64}}$$

Multiply 2 and \frac{3}{2} to get 3.

$$3-\sqrt[3]{\frac{8}{64}}$$

Reduce the fraction \frac{8}{64} to lowest terms by extracting and canceling out 8.

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

Calculate \sqrt[3]{\frac{1}{8}} and get \frac{1}{2}.

$$3-\frac{1}{2}$$

Subtract \frac{1}{2} from 3 to get \frac{5}{2}.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$