Given Any 2 integers A and B such that ASolutiongiven that A

Solution

given that A<=B

and A divides B^2

means that Ak=B^2 for some integer K ,.....(1)

we have to prove that Ak=B

divide both side by B of (1) we get

A (k/B)=B

if k/B is an integer then a divides be true

but k/B is not integer then A/B is not true