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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.
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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
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 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.)
Is the square of pi a rational or irrational nuymber?
The square of pi is an irrational number.
Is pi a recurring decimal a terminating decimal or an irrational number?
Pi is an irrational number
