In the set of real numbers, negative numbers do not have square roots. A new kind of number, called imaginary was invented so that negative numbers would have a square root. These numbers start with the number i, which equals the square root of -1, or i2 = -1.
All imaginary numbers consist of two parts, the real part, b, and the imaginary part, i. Example:
1. Simplify: SQRT(-5)
Solution: Write -5 as a product of
SQRT(-1 * 5)
Write as separate square roots.
By definition, i = SQRT(-1),
so the final answer is
is the real part, or b.)
I just dont get this entire thing... how does it even work?