JEE Main 2022 · 29 Jul · Shift 1, Mathematics question 25

Let the ratio of the fifth term from the beginning to the fifth term from the end in the binomial expansion of $\left(\sqrt[4]2+\dfrac1{\sqrt[4]3}\right)^n$, in the increasing powers of $\dfrac1{\sqrt[4]3}$ be $\sqrt[4]6:1$. If the sixth term from the beginning is $\dfrac\alpha{\sqrt[4]3}$, then α is equal to _______.