Are the square roots of all positive integers are irrational?

It might seems like it, but actually no.

Proof:

sqrt(0) = 0 (0 is an integer, not a irrational number)

sqrt(1) = 1 (1 is an integer, not irrational)

sqrt(2) = irrational

sqrt(3) = irrational

sqrt(4) = 2 (integer)

As you can see, there are more than 1 square root of a positive integer that yields an integer, not a irrational.

While most of the sqrts give Irrational Numbers as answers, perfect squares will always give you an integer result.

Note: 0 is not a positive integer. 0 is neither positive nor negative.