Verified Solution • 2025–26 Session moderate

QJEEM21Mad4f0: JEE Main 2021 Mathematics - Class 11 JEEM21Mad4f0 Solution: The number of rational terms in the binomial expansion of ( 4 1 …

The number of rational terms in the binomial expansion of

{(4^{\frac{1}{4}} + 5^{\frac{1}{6}})}^{120}

is _______________.

Step-by-Step Verified Solution

{(4^{\frac{1}{4}} + 5^{\frac{1}{6}})}^{120}

T_{r + 1} =^{120} C_{r} (2^{1 / 2})^{120 - r} (5)^{r / 6}

for rational terms r = 6

λ

\leq

\leq

120

So total no of terms are 21.