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An imaginary number i is defined as the square root of -1, so if you have something like the square root of -2, the answer would be i root 2, and that would be considered an irrational non-real number.
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Not quite. The fact that irrational coefficients can be used, in conjunction with i to create complex numbers (or parts of complex numbers) does not alter the fact that all Irrational Numbers are real numbers.
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True or false irrational numbers are not real numbers?
False. Irrational numbers are real numbers.
Are imaginary numbers irrational numbers?
No. Irrational numbers are real numbers, therefore it is not imaginary.
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.
Is every irrational a real number. If Yes Why?
Yes irrational numbers are real numbers that are part of the number line,
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.
Are real numbers irrational numbers?
No, but the majority of real numbers are irrational. The set of real numbers is made up from the disjoint subsets of rational numbers and irrational numbers.
True or false irrational numbers are not real numbers?
False. Irrational numbers are real 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.
Are some irrational numbers not real?
No. Irrational numbers by definition fall into the category of Real Numbers.
Are all irrational numbers real number?
All irrational numbers are real, but not all real numbers are irrational.
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.
Can all real numbers be irrational?
Irrational numbers are real numbers because they are part of the number line.
Are imaginary numbers irrational numbers?
No. Irrational numbers are real numbers, therefore it is not imaginary.
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.
Is every irrational number also real?
Yes, every irrational number is also a real number. Real numbers include all the numbers on the number line, which consists of both rational and irrational numbers. Rational numbers can be expressed as fractions, whereas irrational numbers cannot be expressed as simple fractions. So, while all irrational numbers are real numbers, not all real numbers are irrational—some are rational.
How are rational and irrational numbers alike?
Both irrational and rational are real. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
