JEE Main 2012Annual, Paper 1MathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002If nnn is a positive integer, then (3+1)2n−(3−1)2n{\left( {\sqrt 3 + 1} \right)^{2n}} - {\left( {\sqrt 3 - 1} \right)^{2n}}(3+1)2n−(3−1)2n is :AOption A. an irrational numberBOption B. an odd positive integerCOption C. an even positive integerDOption D. a rational number other than positive integersCheckSkip · show solution