Maths Binomial Theorem & Mathematical Induction Multinomial Theorem, Terms Free From Radical Sign in the Expansion of (A1/P + B1/Q), Problems Regarding to Three / Four Consecutive Terms or Coefficients Single Correct MCQ
Published on: August 14, 2026

The number of terms which are free from radical signs in the expansion of is

A
5
B
6
C
7
D
None of these

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Text Solution

Verified by Experts
The correct answer is:
B

In the expansion of , the general term is

.

This will be independent of radicals if the exponents and are integers, for which is possible only when .

∴ ∴ There are six terms viz . which are independent of radicals.

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