Question

Let a be an irrational number. Is 1/a rational or irrational

Answer 1

1 is a rational number because 1 can go into 1 when dividing. Irrational numbers are mostly decimals.

Answer 2

An irrational number multiplied, divided, added, or subtracted with a rational number, (or the other way around) is always irrational.

Since a is irrational, 1/a is 1/ a rational number, which will be irrational.