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The first proof of the existence of Irrational Numbers is usually attributed to a Pythagorean(possibly Hippasus of Metapontum), who probably discovered them while identifying sides of the pentagram in the fifth century BC.
What else can I help you with?
What are the solutions of irrational numbers?
They are irrational numbers!
What are irrational numbers and why are they irrational?
They are numbers that are infinite
Are rational numbers is an irrational numbers?
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.
Properties of irrational numbers?
properties of irrational numbers
Is there a proof that irrational numbers can be derived from rationals numbers?
I am not quite sure what you mean with "derive" - what sort of derivation you will accept. If you take the square root of an integer, unless the integer happens to be a perfect square, you get an irrational number. And yes, there is proof of that. The can be found in most high school algebra books.
Is it true that no irrational numbers are whole numbers?
Yes, no irrational numbers are whole numbers.
Are imaginary numbers irrational numbers?
No. Irrational numbers are real numbers, therefore it is not imaginary.
If you add two irrational numbers do you get an irrational number?
Not necessarily. The sum of two irrational numbers can be rational or irrational.
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.
How many irrational numbers are there?
There are an infinite number of irrational numbers.
Are there irrational numbers that are not rational?
All irrational numbers are not rational.
True or false irrational numbers are not real numbers?
False. Irrational numbers are real numbers.
