What is the smallest positive integer n so that 3n squared is a multiple of 4

2 answers

n=2

(3*2)^2=6^2=36

36=9*4
if n is even then n^2 is divisible by 4
so we need the smallest even integer which is 2

check 3n^2 = 3(2^2) = 12 , which is a multiple of 4

(I read your expression as 3 n^2
if you mean (3n)^2, then the answer is still the same )

the smallest integer n is 2