Question

Either prove or provide a counterexample to the assertion "If n=ab is the product of positive integers a and b then a <= the root of n or b <= the root of n."

Answer 1

n = 3 * 3
n = 9
√9 = 3 so this proves it's true

but

n = 100 * 1
n = 100
√100 = 10

so this situation proves that it is false. Once you get a false statement the entire thing is false so there.