If n is a positive integer, then ( ) ( ) 2 2 31 31 n n + — is :

Question:

If $n$ is a positive integer, then $(\sqrt{3}+1)^{2 n}-(\sqrt{3}-1)^{2 n}$ is :

  1. an irrational number

  2. an odd positive integer

  3. an even positive integer

  4. a rational number other than positive integers

Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Binomial Theorem and its Simple Applications chapter.
JEE Main Previous Year 2012

Solution:

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