QJEEM24Ma1789: JEE Main 2024 Mathematics - Class 11 JEEM24Ma1789 Solution:  Number of integral terms in the expansion of  { 7 (…

Question

Verified Solution • 2025–26 Session moderate

$Number of integral terms in the expansion of {7^{(\frac{1}{2})} + 11^{(\frac{1}{6})}}^{824} is equal to _________.$

Accepted Answer

General term in expansion of ${((7)^{1 / 2} + (11)^{1 / 6})}^{824}$ is $t_{r + 1} =^{824} C_{r} (7)^{\frac{824 - r}{2}} (11)^{r / 6}$

For integral term, $r$ must be multiple of 6.

Hence $r = 0, 6, 12, . . . . . . . 822$

QJEEM24Ma1789: JEE Main 2024 Mathematics - Class 11 JEEM24Ma1789 Solution: &nbsp;Number of integral terms in the expansion of&nbsp; { 7 (…