Answer:
positive, real, irrational, algebraic
Explanation:
Numbers are categorized various ways. Some categories include ...
prime, composite
real, complex
integer, rational, irrational
whole number, natural number
positive, negative, zero
algebraic, non-algebraic*
√23 is the positive, real, irrational root of a prime number. It is an algebraic number.
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* An algebraic number is a root of a polynomial with integer coefficients.
√23 is a root of x^2 -23 = 0.