Mr.P told us to collect the information about Imaginary Numbers.
Imaginary Numbers
Imaginary Numbers are numbers when squared gives a negative result.
Try
Let's try squaring some numbers to see if we can get a negative result:
- 2 × 2 = 4
- (-2) × (-2) = 4 (because a negative times a negative gives a positive)
- 0 × 0 = 0
- 0.1 × 0.1 = 0.01
No luck! Always positive, or zero.
It seems like you cannot multiply a number by itself to get a negative answer ...
... but imagine that there is such a number (call it i for imaginary) that could do this: i × i = -1 Would it be useful, and what could we do with it? |
Well, by taking the square root of both sides we get this:
Which means that i is the answer to the square root of -1. |
And that is very useful ... by simply accepting that i exists we can solve things where we need the square root of a negative number.
Interesting Property
The Unit Imaginary Number, i, has an interesting property. It "cycles" through 4 different values each time you multiply:
Have a Nice Day bye guys |
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