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For many calculators if you input "the square root of -1", you will get out "domain error"
Input
Output
This was done with a TI-30XS calculator
Complex Numbers
Imaginary NumbersReal Numbers
Rational Numbers Irrational Numbers
Integers
Whole Numbers
Counting Numbers
Because the domain programmed into the calculator is the Real Numbers not the Complex Numbers or Imaginary Numbers
These questions should be on your mind.
2. How do I process them?
1. Why is the square root of a negative useful?
Imaginary Numbers are useful in these fields of work:
1. Computer Graphics
2. Electric Engineering
3. Quantum Physics
Let's combine that definition with these 2 facts.
Fact #1Any non-zero number to the "zero power" is 1
Fact #2Any number to the "power of 1" is itself