Question

find a counter example to the conditional or to its converse(one is true and the is not). If x is divisible by 3, then x^2 is divisible by 3. The converse is if x^2 is divisible by 3, then x is divisible by 3.

Answer 1

there is no counterexample to conditional
if x is divisible by 3 then say x = m/3, m is any integer
then x^2 = m^2/3^2 = (m^2/3)/3 thus divisible by 3
For converse there are counterexamples:
say x^2 = 12
then x = 2sqrt(3) -> not divisible by 3

Answer 2

thanks

Answer 3

your welcome