[JEE Main 2003] The number of integral terms in the expansion of $(\sqrt3+\sqrt[8]5)^{256}$ is
The number of integral terms in the expansion of $(\sqrt3+\sqrt[8]5)^{256}$ is
(a) $35$
(b) $32$
(c) $33$
(d) $34$
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 1mo ago
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Correct answer: (c) $33$
Both $\frac{256-k}2$ and $\frac k8$ integral $\Rightarrow k$ a multiple of $8$: $k=0,8,\dots,256$, giving $33$ terms.
JEE Main 2003 · Binomial Theorem — verified solution by the Vidaara Team.
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