Solve sqrt[5]{13/1117/1322/1723/22frac{26}{23}}

$$\sqrt[ 5 ]{ \frac{ 13 }{ 11 } \frac{ 17 }{ 13 } \frac{ 22 }{ 17 } \frac{ 23 }{ 22 } \frac{ 26 }{ 23 } }$$

Evaluate

$$\frac{11^{\frac{4}{5}}\sqrt[5]{26}}{11}\approx 1.187725642$$

Solution Steps

Multiply \frac{13}{11} and \frac{17}{13} to get \frac{17}{11}.

$$\sqrt[5]{\frac{17}{11}\times \frac{22}{17}\times \frac{23}{22}\times \frac{26}{23}}$$

Multiply \frac{17}{11} and \frac{22}{17} to get 2.

$$\sqrt[5]{2\times \frac{23}{22}\times \frac{26}{23}}$$

Multiply 2 and \frac{23}{22} to get \frac{23}{11}.

$$\sqrt[5]{\frac{23}{11}\times \frac{26}{23}}$$

Multiply \frac{23}{11} and \frac{26}{23} to get \frac{26}{11}.

$$\sqrt[5]{\frac{26}{11}}$$