The total number of irrational terms in the binomial  expansion of 71/5−31/1060 is

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

1. A

55

2. B

54

3. C

48

4. D

49

Register to Get Free Mock Test and Study Material

+91

Verify OTP Code (required)

### Solution:

Given expression is

General terms of this expansion is

For rational terms $r=0,10,20,30,40,50,60$

So, number of rational terms = 7

$\therefore$Number of irrational terms = 61 -7 =54

Register to Get Free Mock Test and Study Material

+91

Verify OTP Code (required)