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

Anonymous

∙ 13y ago

Updated: 8/19/2019

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.

Wiki User

∙ 13y ago

What else can I help you with?

Is 2 pi a rational number?

No, since Pi is an irrational number, 2(pi) would still be irrational.

Is negative pi rational or irrational?

-Pi is irrational, because it does not terminate or repeat. Whenever you multiply an irrational number by a rational number (-1), the result is an irrational number.

Is pi a recurring decimal a terminating decimal or an irrational number?

Pi is an irrational number

What is pi an irrational number?

Yes, it is an irrational number.

Is pi plus pi a rational or irrational number?

It is irrational, just like pi

Why is PI a rational or irrational number?

pi is an irrational number. It is irrational because it cannot be expressed as a ratio of two integers.

Why is 10 pi irrational?

A non-zero rational number (10) multiplied by an irrational number (pi) is always irrational.

Is the square of pi a rational or irrational nuymber?

The square of pi is an irrational number.

Is the ratio of the circumference and diameter of a circle is an irrational number?

That's the number pi, and yes, it is irrational.

Why is pi a rational number?

Pi is irrational.

Why the area of a circle with a rational radius must be an irrational number?

It the radius is r then the area is pi*r*r - which is pi times a rational number. pi is an irrational number, so the multiple of pi and a rational number is irrational.

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.

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