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

Which irrational number can be added to pi to get a sum that is rational?-example-1
Which irrational number can be added to pi to get a sum that is rational?-example-1
Which irrational number can be added to pi to get a sum that is rational?-example-2
Which irrational number can be added to pi to get a sum that is rational?-example-3
Which irrational number can be added to pi to get a sum that is rational?-example-4
User Ximbal
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1 Answer

4 votes

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.

User Ashish Pani
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