1. ## Analysis

Prove that the real number m2 is divisible by a then m is also divisible by a.

2. ## Re: Analysis

Originally Posted by shaneeza
Prove that the real number m2 is divisible by a then m is also divisible by a.
Care to share your solution? It might help out someone else.

-Dan

Edit: Ummmm... You might need to see if this is the correct question. m = 4 gives 4^2 = 16 is divisible by a = 8. But 4 is not divisible by 8.

3. ## Re: Analysis

well! actually i need some help because i can really solved this?

4. ## Re: Analysis

Originally Posted by shaneeza
well! actually i need some help because i can really solved this?
It isn't your fault. The problem statement is flawed as I demonstrated. Unfortunately I haven't a clue what was intended. Where did you get the problem from?

-Dan

5. ## Re: Analysis

I believe what was intended is that "if $n^2$ is divisible by prime number a then n is divisible by a". The simplest way to prove that is to look at the prime fatorizations of n and $n^2$.