The product of 2 rationals must be rational. The product of a rational and an irrational is irrational (unless the rational is 0) The product of two irrationals can be either rational or irrational.
Imaginary numbers are not intrinsically rational or irrational.Of course, all real numbers are either rational or irrational numbers.Imaginary numbers are not real numbers.Imaginary numbers have a real part and an imaginary part, sometimes written like z=x+i y.The two parts, i.e. the x and the y, are real numbers. As real numbers, they are either rational or irrational. Its just that the two parts of a complex number may both be either rational or irrational or one may be rational and the other irrational. One could always make up a new name for these cases, but right now there is no such classification.
9.5 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
14 is rational. Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction.
-6.3 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
The cubes of all rational numbers will be rational. But the cubes of irrational numbers can be either.
No, they are two separate groups of numbers. A number is either rational or irrational, never both.
No, a number is either rational or irrational
No. Real numbers are divided into two DISJOINT (non-overlapping) sets: rational numbers and irrational numbers. A rational number cannot be irrational, and an irrational number cannot be rational.
No. There are numbers that are beyond real numbers, such as complex numbers which are neither rational nor irrational.
Positive numbers can be either rational or irrational.
Numbers cannot be rational and irrational at the same time.
Numbers are either irrational (like the square root of 2 or pi) or rational (can be stated as a fraction using whole numbers). Irrational numbers are never rational.
Rational. Because it repeats. (Rational numbers either repeat or stop. Irrational numbers don't stop or repeat, such as pi)
The product of 2 rationals must be rational. The product of a rational and an irrational is irrational (unless the rational is 0) The product of two irrationals can be either rational or irrational.
It could be either.
yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.