End me.
>>11549753I can think of two ways to answer this:
1. The Pythagorean theorem uses lengths of the sides, not the values of the sides. This distinction doesn't matter in the real numbers (except, one could argue, for negative numbers)
The lengths of both sides are 1, therefore the length of the hypotenuse is .
2. The length of a complex number is defined as an operation called the modulus. Say we have a complex number x. The modulus of x is
where is the complex conjugate, which is calculated by reversing the signs of all imaginary numbers in x.
The number we have is the sum of 1 and i, or 1+i. Using the modulus function, we get
