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The square root of 41 is an irrational , algebraic, real number. It is real, is the root of an polynomial equation with integer coefficients, but can not be expressed as a ratio of integers.
The set of real numbers can be divided into rational numbers and irrational numbers.
The real numbers are divided into rational numbers and irrational numbers.
Any real number can be divided by 2. 122 can be divided by 2 with no remainder.