Square roots will always be irrational

No, that is incorrect. Square roots can be both rational and irrational numbers. For example, the square root of 4 is 2, which is a rational number. However, the square root of 2 is an irrational number.

No, square roots will not always be irrational. Square roots of perfect square numbers, such as 4, 9, 16, etc., will be rational numbers. For example, the square root of 4 is 2, which is a rational number. However, the square root of non-perfect square numbers, such as 2, 3, 5, etc., will be irrational numbers. For example, the square root of 2 is approximately 1.41421356, which is an irrational number.