Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.
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.
Not necessarily. The sum of two irrational numbers can be rational or irrational.
If you multiply two irrational numbers, the result can be rational, or irrational.
Yes, irrational numbers are never rational numbers because irrational numbers can't be expressed, by definition, as a fraction of two integers.
They are always rational.
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.
In between any two rational numbers there is an irrational number. In between any two Irrational Numbers there is a rational number.
In between any two rational numbers there is an irrational number. In between any two irrational numbers there is a rational number.
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.
Not necessarily. The sum of two irrational numbers can be rational or irrational.
Can be rational or irrational.
No. The intersection of the two sets is null. Irrational numbers are defined as real numbers that are NOT rational.
There is no number which can be rational and irrational so there is no point in asking "how".
If you multiply two irrational numbers, the result can be rational, or irrational.
Yes, irrational numbers are never rational numbers because irrational numbers can't be expressed, by definition, as a fraction of two integers.
They are always rational.
The answer can be irrational or rational.
2/3 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
The set of real numbers is divided into rational and irrational numbers. The two subsets are disjoint and exhaustive. That is to say, there is no real number which is both rational and irrational. Also, any real number must be rational or irrational.
No, they are two separate groups of numbers. A number is either rational or irrational, never both.
The rational numbers form a field. In particular, the sum or difference of two rational numbers is rational. (This is easy to check directly). Suppose now that a + b = c, with a rational and c rational. Since b = c - a, it would have to be rational too. Thus you can't ever have a rational plus an irrational equalling a rational.
You get a product which can be rational or irrational.
It may be a rational or an irrational number.
There are more irrational numbers between any two rational numbers than there are rational numbers in total.
Yes, Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.