Question

the square root of any positive integer that is a perfect square is an irrational number? true or false

Answer 1

No, no way. Do you know what an irrational number is?

Answer 2

The square and the square root are inverse operations

\[\sqrt{x ^{2}}\]

So the idea is we have some perfect square and we can call that x^2
So then the square root of that is s x

And an irrational number would be the square root of a prime number
like root 2 or root 5

Answer 3

Therefore, it is false false - because a perfect square has a whole number as the root and whole numbers are not irrational.