Best Answer

In 1761, Joseph Lambert proved that pi was irrational by basically proving that the tangent of some number x could be expressed as a particular continued fraction as a function of x. He then went on to show that if x was rational, the continued fraction must be irrational, and since the tangent of pi/4 was 1 (i.e. rational), then pi/4 and thus pi itself must not be rational.

User Avatar

Wiki User

โˆ™ 2011-03-14 16:11:12
This answer is:
User Avatar
Study guides


20 cards

A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

See all cards
1456 Reviews

Add your answer:

Earn +20 pts
Q: Who proved that pi was irrational and when?
Write your answer...
Still have questions?
magnify glass
Related questions

Who proved that pi is irrational and when?

Johann Lambert proved that pi is irrational in 1761.

When Lambert proves pi is irrational?

Johann Lambert proved that pi is irrational in 1761.

Who proved that pi is an irrational number in 1761?


Who proved pi to be irrational?

The value of pi has never been proven becauase it is an irrational number which can not be expressed as a fraction

What proof about pi was Johan Lambert famous for?

He proved that pi is an irrational number.

Is pi an irrational or rational number How do you know?

Pi is an irrational number. Johann Heinrich Lambert proved that in the late 18th Century.

Why does pi never end?

Pi is an irrational number; it can't be represented as a fraction of two integers. It has been proved that the majority of real numbers are irrational. The proof that pi is irrational was found in 1770; it's slightly too complicated to put in this answer, but if you search with google for pi irrational proof then you will find several different proofs.

Why is pi irrational?

Pi can't be expressed as a fraction (a ratio of two integers), which makes it irrational. Another way to say it. Pi (π) is an irrational number; it's trancendent. The mathematical proof that pi is irrational can be viewed by using the link to the Wikipedia article on exactly this topic. The challenge is that to understand the proof, one needs some familiarity with integral calculus. Short of that, one would probably have to just accept the fact that pi is transcendent and that it has been proved. (Pi was suspected to be irrational from ancient times, but it was actually proved to be in the 1700's.)

Who helped in the development of pi?

1.Euler 2. Lambert 3.Liouville 4.Hermite 5.Linderman - Euler's infinite Expansion of Pi with primes. - Lamert proved that Pi was irrational - Liouville proves the existence of Transcendental numbers - Hermite proved that the constant was transcendental. - Linderman proved that Pi was trancendental Thanks :)

What is an irrational number and why is pi an irrational number?

An irrational number is a real number that cannot be expressed as a ratio of two integers, x and y, where y>0. In 1761, Johann Heinrich Lambert proved that pi is irrational. His proof and alternatives by other mathematicians can be found at the attached link.

Is pi plus pi a rational or irrational number?

It is irrational, just like pi

Is 3 pi irrational?

Pi, is an irrational number (it cannot be written as a fraction) For this reason, 3 times pi is also irrational.

People also asked

Characteristics features of a non-living thing?

View results

What conclusion might you make about why this cell appears to have two nuclei?

View results

What is a non-living thing that produces waste?

View results

Scientific notation 9.69 x 10-5?

View results

How are non-living things different from living and dead things?

View results

What non living thing's reproduce?

View results