We are told that we cannot take square root of a negative number. However, we can take the square root of a negative number, but it involves using a new number to do it. This new number was called ‘i’ stands for imaginary. The imaginary is defined as:
The pattern of powers, sign, 1’s and i’s is cyclic:
To find high power of i, we can simplify the exponent by converting it to closest multiple of 4 plus the remainder, shown in the example below:
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