There is no pair of real numbers that can do that job.
The two numbers that CAN are ...
1 + √2 i
and
1 - √2 i
The ' i ' is the symbol used to stand for the square root of -1 .
(Yes, I know ... Negative numbers don't have square roots.
But there's a whole section of math built on the idea of the
square root of -1, and the symbol most often used to represent
that is ' i ' ... for "imaginary".)