>>12547238Obviously. You can find the smallest power of 10 such that it is strictly bigger than the absolute value of your irrational number. Then, you can multiply said power of 10 by an integer with the same sign as the irrational number, then add them.
With a proof by contradiction, you can show that this new number must be an irrational number. Therefore, you made a new irrational number containing the digits of the first irrational number.
