Solve [(frac{2sqrt[5]{3}}{3})(1/2)]+5

$$[ ( \frac { 2 \sqrt[ 5 ] { 3 } } { 3 } ) ( \frac { 1 } { 2 } ) ] + 5$$

Evaluate

$$\frac{\sqrt[5]{3}}{3}+5\approx 5.415243647$$

Short Solution Steps

Multiply \frac{2\sqrt[5]{3}}{3} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\sqrt[5]{3}}{3\times 2}+5$$

Cancel out 2 in both numerator and denominator.

$$\frac{\sqrt[5]{3}}{3}+5$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{3}{3}.

$$\frac{\sqrt[5]{3}}{3}+\frac{5\times 3}{3}$$

Since \frac{\sqrt[5]{3}}{3} and \frac{5\times 3}{3} have the same denominator, add them by adding their numerators.

$$\frac{\sqrt[5]{3}+5\times 3}{3}$$

Do the multiplications in \sqrt[5]{3}+5\times 3.

$$\frac{\sqrt[5]{3}+15}{3}$$

Factor

$$\frac{\sqrt[5]{3} + 15}{3} = 5.415243646538506$$