Among other things, it belongs to the following sets: positive numbers; irrational numbers; algebraic numbers.
Rational and Real numbers
No. Negative numbers are real but their square roots are not.
Irrational: it cannot be written exactly in the decimal notation.
Integers, Rational numbers, Real numbers and Complex numbers.
Among other things, it belongs to the following sets: positive numbers; irrational numbers; algebraic numbers.
real numbers, irrational numbers, ...
Irrational Numbers which are a subset of Real Numbers which are a subset of Complex Numbers ...
1/2 is a rational number
Root 6 is an irrational [real] number.
irrational
A square root is not a number system. Square roots of non-negative numbers may be rational or irrational, but they all belong to the set of real numbers. The square roots of negative numbers do not. To include them, the number system needs to be extended to the complex numbers.
Integer, Real, whole, and natural. I may have skipped a few.
Rational and Real numbers
Rational numbers.
Not necessarily. The square root of 4 are +/- 2 which are Real numbers, NOT imaginary. Although, since the Reals are a subset of Complex numbers, the above roots would belong to the Complex numbers.
2 does belong to the set of imaginary numbers. Any real number is also imaginary. Imaginary numbers are the set of all numbers that can be expressed as a +b*i where "i" is the square root of negative one and "a" and "b" are both real numbers.