A rational number cannot also be irrational. A real number is either rational, or it is irrational.
All irrational numbers are Real numbers - it's part of the definition of an irrational number. Imaginary numbers are neither rational nor irrational. An example of a number that is both Real and irrational is the square root of two. Another example is the number pi.
yes. an irrational number is any real number that is not a rational number
None. A rational number is a number that can be written as the quotient of two integers where the divisor is not zero. An irrational number is a real number that cannot be written as the quotient of two integers where the divisor is not zero. Any given real number either can or cannot be written as the quotient of two integers. If it can, it is rational. If it cannot, it is irrational. You can't be both at the same time. The square root of -1 is not a real number and it cannot be written as the quotient of two integers, so it is neither rational nor irrational.
Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)
Real numbers can be rational or irrational because they both form the number line.
Integers are rational. In the set of real numbers, every number is either rational or irrational; a number can't be both or neither.
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.
A real number which is not a rational number is an irrational number.
They are both Real numbers.
Both rational and irrational numbers are real numbers.
It is an integer. All integers are rational but not irrational. All rational and irrational numbers are real numbers.
A real number dosen't have to be a rational number as a real number can be rational or irrational i.e the root of 2 is irrational and real. So is (pi).
An irrational number is a real number that is not rational.
No it cannot. Irrational means "not rational".
Yes it will be. The set of real numbers can be divided into two distinct sets: rational and irrational. So if it is not rational, then it is irrational.
Numbers cannot be rational and irrational at the same time.