Solve sqrt[3]{3.4^2/365^2}

$$\sqrt[ 3 ] { \frac { 3.4 ^ { 2 } } { 365 ^ { 2 } } }$$

Evaluate

$$\frac{\sqrt[3]{289}\times 26645^{\frac{2}{3}}}{133225}\approx 0.044271479$$

Solution Steps

Calculate 3.4 to the power of 2 and get 11.56.

$$\sqrt[3]{\frac{11.56}{365^{2}}}$$

Calculate 365 to the power of 2 and get 133225.

$$\sqrt[3]{\frac{11.56}{133225}}$$

Expand \frac{11.56}{133225} by multiplying both numerator and the denominator by 100.

$$\sqrt[3]{\frac{1156}{13322500}}$$

Reduce the fraction \frac{1156}{13322500} to lowest terms by extracting and canceling out 4.

$$\sqrt[3]{\frac{289}{3330625}}$$