Question

Prove that if m is divisable by 3 then so is m²

Answer 1

To prove that if m is divisible by 3, then so is m², we can use congruence. If m is divisible by 3, then m ≡ 0 (mod 3), which means m is congruent to 0 modulo 3. Squaring both sides of the congruence, we get m² ≡ 0 (mod 3²).

Step-by-step explanation:

To prove that if m is divisible by 3, then so is m², we can use congruence. If m is divisible by 3, then m ≡ 0 (mod 3), which means m is congruent to 0 modulo 3. Squaring both sides of the congruence, we get m² ≡ 0 (mod 3²). Since 3² = 9, we can conclude that if m is divisible by 3, then m² is divisible by 9.