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[JEE Advanced 1997] the sum of the rational terms in the expansion of sqrt 2 3 1

VAVidaara Admin Asked 2d ago 0 views 1 answer

The sum of the rational terms in the expansion of $(\sqrt2+3^{1/5})^{10}$ is ____

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VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 2d ago ▲ 0

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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