Solve sqrt[3]{729/216*6/9}

$$\sqrt[ 3 ] { \frac { 729 } { 216 } \times \frac { 6 } { 9 } }$$

Evaluate

$$\frac{\sqrt[3]{9}\times 4^{\frac{2}{3}}}{4}\approx 1.310370697$$

Solution Steps

Reduce the fraction \frac{729}{216} to lowest terms by extracting and canceling out 27.

$$\sqrt[3]{\frac{27}{8}\times \frac{6}{9}}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

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

Multiply \frac{27}{8} and \frac{2}{3} to get \frac{9}{4}.

$$\sqrt[3]{\frac{9}{4}}$$