Solve sqrt{729/216*6/9}

$$\sqrt { \frac { 729 } { 216 } \times \frac { 6 } { 9 } }$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

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

$$\sqrt{\frac{27}{8}\times \frac{6}{9}}$$

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

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

Multiply \frac{27}{8} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{27\times 2}{8\times 3}.

$$\sqrt{\frac{54}{24}}$$

Reduce the fraction \frac{54}{24} to lowest terms by extracting and canceling out 6.

$$\sqrt{\frac{9}{4}}$$

Rewrite the square root of the division \frac{9}{4} as the division of square roots \frac{\sqrt{9}}{\sqrt{4}}. Take the square root of both numerator and denominator.

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

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$