Question #56646

1 Answer
seol
Nov 19, 2016

irrational

Explanation:

-11 is a rational number because it has a set amount of digits.

\pi is an irrational number because it continues on for infinite length:\pi\approx3.141592653589793238462643383279502884...

A rational number multiplied by an irrational number still gets you an irrational number, because the infinite digits don't cancel out.

You will see this when radians are written with \pi; if you were to multiply out to get numerical values only, the result would have to be rounded up for convenience's sake.

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