What is value of ‘i’?

The term ‘i’ is referred to as an imaginary number or iota. It is used to represent numbers that are not real but form an integral part of a mathematical system. This came into the picture when there are negative values in the square root. The value of ‘i’ can be represented as

i = √-1

and

i × i = i2 -1

Since the value of √-1 can’t be calculated, it is represented by the term ‘i’.

Definition of Value of i

The imaginary unit i is defined such that i2 = −1

Value of i

The value of i is a fundamental concept in mathematics, particularly in the field of complex numbers. The field of mathematics not only depends on real numbers but also complex numbers which can be represented by the value ‘i’ known as iota.

In this article, we will study what is ‘i’ and what is the value of ‘i’. We will also see how we can use ‘i’ to represent a complex number. Some solved examples have also been provided to ensure a better understanding of the concept.

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What is value of ‘i’?

The term ‘i’ is referred to as an imaginary number or iota. It is used to represent numbers that are not real but form an integral part of a mathematical system. This came into the picture when there are negative values in the square root. The value of ‘i’ can be represented as...

What is value of i in Complex Numbers?

We can use ‘i’ to represent real and complex numbers, here is a generalized representation:...

What is Absolute Value of i?

When we refer to the absolute value of a number, it is the modulus value of the number. We know that the absolute value of both 1 and -1 is 1 therefore, we the absolute value of i is 1....

What is Value of Powers of i?

Now let us manipulate the properties of i and see what happens when we repeatedly multiply the number ‘i’. Note that if we take the square of any real number, the value always comes out to be positive which is not the case with the complex number ‘i’. Let us see this from the table....

Properties of i

Let us take a look at some properties of i...

Solved Examples of the Value of i

Example 1: Evaluate the value of expression √-6...

Frequently Asked Questions: FAQs on Value of i

What is the magnitude of a complex number a+ib?...