A look into the basic imaginary numbers rules

When you start working on your mathematics and algebra, you are sure to encounter a situation where you would need to work on the square roots of negative numbers. Now, the first question that would hit your mind would definitely be: is this really possible? Well, this concern is genuine for sure for the simple reason that whenever a positive number or a negative number is squared, it eventually results in a positive number. Hence, for this purpose, a special number that is denoted by ‘I’ has been designated by mathematicians. This particular i basically represents the square root of -1, thereby giving us: Now, when working with imaginary numbers, you would also have to learn about a few imaginary numbers rules. A few of them are:

1. Determination of the square root of a negative number
The first imaginary number rules is associated with the determination of the square root of a negative number. For instance, if we need to take the square root of -16, we would have to take the square root of its absolute value, which in this case is going to be 4. Once done, you would need to multiply it with i. This means that if you are interested in acquiring the square root of -16, that would come down to being: 4i.

2. Addition of numbers that have imaginary numbers
Let us consider that we need to add two number a+bi and c+di. Now, to do so, you would basically need to separately add their real parts, after which they would need to be simplified. After this, the imaginary parts are added separately, and then simplified too. Hence, the answer is going to be: (a+c) + i(b+d).

3. No i in the denominator
If truth be told, imaginary numbers rules are quite like those of square roots. This is because if you consider it technically, imaginary numbers actually are a square root. Now, amongst all of these rules, there’s also one that states that it isn’t possible for an i to be present in the denominator.

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