Among other things, it belongs to the following sets: positive numbers; Irrational Numbers; algebraic numbers.
The square root of 6 is an irrational number. It is also an algebraic number, a quadratic surd, an algebraic integer, a constructible number, and a computable number.
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.
real numbers, irrational numbers, ...
Irrational Numbers which are a subset of Real Numbers which are a subset of Complex Numbers ...
The square root of 6 is an irrational number. It is also an algebraic number, a quadratic surd, an algebraic integer, a constructible number, and a computable number.
1/2 is a rational number
Root 6 is an irrational [real] number.
irrational
The square root of 34 belongs to the set of irrational numbers, as it cannot be expressed as a fraction of two integers. It is also a member of the real numbers, which include both rational and irrational numbers. Additionally, since 34 is a positive number, its square root is a positive real number.
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.