Question

is −11π rational or irrational?

Answer 1

is pi rational or irrational? any idea ?

Answer 2

irrational i believe

Answer 3

yes, pi is irrational (you can't write it as a ratio of two numbers)

and if you multiply irrational times rational (-11 can be written as the ratio -11/1 so it's rational) you get irrational

usually irrational times rational gives irrational.
but there are exceptions:
\[ \sqrt{2} \cdot \sqrt{2} \]
that is irrational times irrational, but the answer is 2 which is rational

Answer 4

thank you