Hippasus, However Pythagoras could not accept the existence of Irrational Numbers, because he believed that all numbers had perfect values. But he could not disprove Hippasus' "irrational numbers" and so Hippasus was thrown overboard and drowned.
No. For example, 20.5 is irrational; indeed it was one of the first irrational numbers to be discovered.
properties of irrational numbers
The Real numbers
-- There's an infinite number of rational numbers. -- There's an infinite number of irrational numbers. -- There are more irrational numbers than rational numbers. -- The difference between the number of irrational numbers and the number of rational numbers is infinite.
No. If it was a rational number, then it wouldn't be an irrational number.
NEVER
Pythogora
Possibly 5th Century BC
No. For example, 20.5 is irrational; indeed it was one of the first irrational numbers to be discovered.
Probably the ancient Egyptians who discovered that the diagonal of a unit square was not a rational number. And then discovered other such numbers.
They are irrational numbers!
They are numbers that are infinite
Irrational numbers are real 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
No. Irrational numbers are real numbers, therefore it is not imaginary.
Yes, no irrational numbers are whole numbers.