# How do you simplify imaginary numbers?

## Question:

How do you simplify imaginary numbers?

## Imaginary Numbers:

If you remember your power rules, you know that whenever you take the square of a number you end up with a positive number as a result. This rule is true for all real numbers, but what if you could take the square of a number and get a negative as a result? This result can actually happen in math, but only when the number we square is not a real number. When we square a number and end up with a negative as a result we call the number we squared an imaginary number.

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Imaginary numbers are generally written as a negative number under a square root sign. For example, {eq}\sqrt{-4} {/eq} is an imaginary number. In...