Question

Which irrational number can be added to pi to get a sum that is rational?

Answer 1

The answer is:
`-\pi`

The explanation for this exercise is shown below:

1. By definition, a rational number can be written as a fraction, whose numerator and denominator are integers. The irrational numbers can't be written as a fraction.

2.
`\pi` is an irrational number, because you can't write it as a fraction. The only way to get a rational number with the sum of
`\pi` and other irrational number shown in the image attached, is that this number added be
`-\pi`, because
`\pi -\pi =0` and
`0` is a rational number.