Irrational Numbers were known in India around 7th Century BCE but there existence as a different class of number but they had not proved their existence. That is sometimes attributed to Hippasus, a Greek philosopher of the Pythagorean school in the 5th Century BCE.
Mathematics, including prime numbers, is discovered, not invented.Systems and methods we use are invented, but concepts of relationships between objects governed by logic, such as the prime numbers are discovered and named. As such, a more appropriate question might be "Who discovered prime numbers?"Many have discovered prime numbers; the first is unknown to mankind.
Irrational numbers are infinitely dense so it is not possible to list them. Whatever positive irrational number you select, there are infinitely many smaller ones.
Type your answer here...square root of two or pie ?
There is no first irrational number. Irrational numbers are infinitely dense which means that there are infinitely many of them in any interval. So if any number laid claim to being the first, there would be infinitely many that would be between 0 and that number. Each one of them would then have a better claim to be "first".
There may be many easier and better ways, but here's how I would do it: -- Square the first given irrational number. -- Square the second irrational number. -- Pick a nice ugly complicated decimal between the two squares. -- Take the square root of the number you picked. It's definitely between the two given numbers, and it would be a miracle if it's not irrational.
Pythogora
No. For example, 20.5 is irrational; indeed it was one of the first irrational numbers to be discovered.
Mathematics, including prime numbers, is discovered, not invented.Systems and methods we use are invented, but concepts of relationships between objects governed by logic, such as the prime numbers are discovered and named. As such, a more appropriate question might be "Who discovered prime numbers?"Many have discovered prime numbers; the first is unknown to mankind.
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.
Irrational numbers are infinitely dense so it is not possible to list them. Whatever positive irrational number you select, there are infinitely many smaller ones.
No. 4 root 2 and 2 root 2 are both irrational. Divide the first by the second you get 2. Which is not a member of the set of irrational numbers.
Type your answer here...square root of two or pie ?
arBIA
Houdini
Rene Descartes first developed the mathematics of coordinate geometry.
Little is really ''known'' about this. Stories abound and many conflict. The surest element of the tales is that root 2 was the first number proven irrational. The favourite for "whodunnit" was Hippasus. Many tales are told of his death by drowning. "Whodun'''that"''' has various answers with Pythagoras as the favourite pusher. Other stories have Pythagoras ordering Hippasus drowned for revealing the existence of irrational numbers, which Pythagoras thought should be kept secret.
NO this number is way far from irrational, first of all let's classify this number, it's an integer, whole number, rational, even a perfect square. This number has two numbers that are not irrational. one example is 11, 11 those numbers are rational so the product can't be irrational.