Because every transcendental number is irrational, any proof showing that pi is transcendental also proves that pi is irrational.

Most people rarely deal with irrational numbers—it would be, well, irrational, as they run on forever, and representing them accurately requires an infinite amount of space. But irrational ...

Irrational numbers comprise numbers that cannot be represented in fraction form; that is, irrational numbers cannot be written in a fraction form. Such as the square root of 9 and the value of pi.

Here are some nerdy facts about the irrational number, to impress your friends as you celebrate Pi Day (which is also Albert Einstein's birthday). [The 9 Most Massive Numbers in Existence] 1.

Is π really irrational? Yes, really really. It is completely, unequivocally and blatantly not a rational number. The interesting question for me, and one I've accepted I'll never know the answer ...

Because every transcendental number is irrational, any proof showing that pi is transcendental also proves that pi is irrational.

This means that, by choosing some errors as zero, you can limit the approximations to specific types of fractions—for example, those with denominators that are powers of 10 only.