Final answer:
The square root of three is an algebraic irrational number because it is the solution to the polynomial equation x^2 - 3 = 0; it is not a transcendental number.
Step-by-step explanation:
The square root of three is not a transcendental number. It is an example of an irrational number. To understand why it's irrational and not transcendental, it's important to know the definitions of these terms. An irrational number is a number that cannot be expressed as a fraction of two integers. On the other hand, a transcendental number is a real or complex number that is not a root of any non-zero polynomial equation with integer coefficients. Since the square root of three is the solution to the polynomial equation x2 - 3 = 0, where x represents the square root of three, it is categorized as an algebraic irrational number rather than a transcendental number.