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Can a number be a member of a set of real numbers and the set of irrational numbers?
Wiki User
∙ 12y ago
Sure. Those characteristics address different features of a number.
Sqrt(2), sqrt(3), sqrt(5), " e ", and " pi ", are all real and Irrational Numbers.
Wiki User
∙ 12y ago
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Is an irrational number a real number?
An irrational number is any real number that cannot be expressed as a ratio of two integers.So yes, an irrational number IS a real number.There is also a set of numbers called transcendental numbers, which includes both real and complex/imaginary numbers. Of this set, all the real numbers are irrational numbers.
Can an irrational numbers be a real number?
yes. an irrational number is any real number that is not a rational number
What number is both real and 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.
Is every irrational a real number. If Yes Why?
Yes irrational numbers are real numbers that are part of the number line,
When can you say that a given real number is irrational?
A real number is an irrational number if it cannot be expressed as a fraction a/b, where a and b are integers. Most real numbers are irrational. The most well known irrational numbers are π and √2. The inverse condition are called the rational numbers.
If a number is a real number then is it also an irrational number?
No. All irrational numbers are real, not all real numbers are irrational.
Is an irrational number cannot be a real number?
Irrational numbers are real numbers.
Is every irrational number a real number and how?
The set of real numbers is defined as the union of all rational and irrational numbers. Thus, the irrational numbers are a subset of the real numbers. Therefore, BY DEFINITION, every irrational number is a real number.
Is an irrational number a real number?
An irrational number is any real number that cannot be expressed as a ratio of two integers.So yes, an irrational number IS a real number.There is also a set of numbers called transcendental numbers, which includes both real and complex/imaginary numbers. Of this set, all the real numbers are irrational numbers.
What real number is also irrational?
All real numbers are irrational. For example, Pi is an irrational number that is a real number. Other irrational numbers can be the square root of an imperfect square.
Is a real number always irrational?
Real numbers can be rational or irrational because they both form the number line.
Can an irrational numbers be a real number?
yes. an irrational number is any real number that is not a rational number
Are all irrational numbers real number?
All irrational numbers are real, but not all real numbers are irrational.
What number is both real and 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.
Is every irrational a real number. If Yes Why?
Yes irrational numbers are real numbers that are part of the number line,
Is every Real number an irrational number?
No, a real number could also be a rational number, an integer, a whole number, or a natural number. Irrational numbers fall into the same category of real numbers, but every real number is not an irrational number.
Are real numbers rational and irrational?
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.
