If n² is divisible by 3 then n is divisible by 3. (True or false)

Solution:

If n² is divisible by 3

Assume n = 3

3²/3 = 9/3 = 3 = LHS

3/3 = 1 = RHS

It's true for n = 3

Assume n = 6

6²/3 = 36/3 = 12 = LHS

6/3 = 2 = RHS

Therefore, the given statement is true for only multiples of 3.

If n² is divisible by 3 then n is divisible by 3. (True or false)

Summary:

If n² is divisible by 3 then n is divisible by 3 is true only when n is multiple of 3.