[JEE Advanced 1997] The sum of the rational terms in the expansion of $(\sqrt2+3^{1/5})^{10}$ is ____
The sum of the rational terms in the expansion of $(\sqrt2+3^{1/5})^{10}$ is ____
1 Answer
VAVidaara Admin
✓ Vidaara Team
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· 1mo ago
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Answer: $41$.
Rational terms need $\frac{10-k}2$ and $\frac k5$ integral, i.e. $k=0,10$: $2^5+3^2=32+9=41$.
JEE Advanced 1997 · Binomial Theorem — verified solution by the Vidaara Team.
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