Solve sqrt[4]{81}quadtext{(3)}sqrt[5]{243/32}

$$\sqrt[ 4 ] { 81 } \quad \text { (3) } \sqrt[ 5 ] { \frac { 243 } { 32 } }$$

Evaluate

$$\frac{27}{2}=13.5$$

Solution Steps

Calculate \sqrt[4]{81} and get 3.

$$3\times 3\sqrt[5]{\frac{243}{32}}$$

Multiply 3 and 3 to get 9.

$$9\sqrt[5]{\frac{243}{32}}$$

Calculate \sqrt[5]{\frac{243}{32}} and get \frac{3}{2}.

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

Multiply 9 and \frac{3}{2} to get \frac{27}{2}.

$$\frac{27}{2}$$

Factor

$$\frac{3 ^ {3}}{2} = 13\frac{1}{2} = 13.5$$