The total number of irrational terms in the binomial expansion of is

Engineering

Mathematics

Properties of Binomial Coefficients

Question

The total number of irrational terms in the binomial expansion of ${(7^{1 / 5} - 3^{1 / 10})}^{60}$ is

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

$General term T_{r + 1} =^{60} C_{r}, 7^{\frac{60 - r}{5}} 3^{\frac{r}{10}}$

$∴$ for rational term, r = 0, 10, 20, 30, 40, 50, 60

⇒ number of rational terms = 7

$∴$ number of irrational terms = 54