There are so many types of a number in mathematics such as real numbers, whole numbers, imaginary numbers, complex numbers etc. But here we will only discuss imaginary number definition which says that an imaginary number is a number which will always remain less than or equal to zero whenever you square the number. Imaginary numbers are always represented in the form of iy where y is any real number and i is the imaginary unit.
In other words imaginary number can be defined as when an imaginary number, let us suppose iy, is being added to any real number like x, it results into a complex number which is of the form x + iy, where x and y are the real part and imaginary part of that complex number respectively.
And as you can see that complex number will become equal to the imaginary number whenever the real part of the complex number, which is x, will be zero.
In imaginary number definition there is one more point which is yet to be discussed. The point is, whenever we see any number under the square root with a negative sign ahead, we cannot solve it, but we could have solved it if there was no negative sign so that’s why we put an imaginary unit i before the square root because of the property i2 = -1 and then we can just solve the number in square root.
For example, we have a number √ -25, which is an imaginary number and its square is -25 but we can also represent an imaginary number as a real number by just putting an imaginary unit i before the square root as i2 = -1,so we have i √ 25 which is equal to i5.
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In other words imaginary number can be defined as when an imaginary number, let us suppose iy, is being added to any real number like x, it results into a complex number which is of the form x + iy, where x and y are the real part and imaginary part of that complex number respectively.
And as you can see that complex number will become equal to the imaginary number whenever the real part of the complex number, which is x, will be zero.
In imaginary number definition there is one more point which is yet to be discussed. The point is, whenever we see any number under the square root with a negative sign ahead, we cannot solve it, but we could have solved it if there was no negative sign so that’s why we put an imaginary unit i before the square root because of the property i2 = -1 and then we can just solve the number in square root.
For example, we have a number √ -25, which is an imaginary number and its square is -25 but we can also represent an imaginary number as a real number by just putting an imaginary unit i before the square root as i2 = -1,so we have i √ 25 which is equal to i5.
In order to get help in the topics: representative elements and cbse latest sample papers, you can just visit our next article.
