Final answer:
The square root of x can be odd or even if x is a perfect square; otherwise, it will be an irrational number that is not considered odd or even.
Step-by-step explanation:
The question of whether the square root of x is odd or even depends on the value of x itself. If x is a perfect square, then the square root of x can indeed be an odd or even integer. However, if x is not a perfect square, the square root of x will be an irrational number and cannot be classified as either odd or even.
As an example, let’s consider x = 4, which is a perfect square. The square root of 4 is 2, an even integer. On the other hand, if x = 9, then the square root is 3, which is an odd integer. Therefore, the square root of x can be even or odd, depending on whether x is a perfect square and whether the root itself is an even or odd number.