Vedantu strives to bring nothing but the best for its students and the article on the value of i was another attempt of ours to do the same. An approach that can give you a very distinct and unique take on the topic. The goal of the article was to offer a different approach to the topic of complex numbers. We hope that this article was able to explain the details of what the value of i is and made the topic of complex numbers easy for you.

It is the simplified form of the equation. Students can clear their concepts further by going through these solved examples.Īns: 1 + √-3 is a complex number with a real and imaginary part. The concept of imaginary numbers is a significant part of it. Getting in tune with the concepts will help you understand mathematical applications better.Ĭomplex numbers is a fundamental topic of study. It doesn’t promote the learning of values. Mathematics is a conceptual and application-based study. The value of higher degrees of i follows this circular formula. Using this circle of formulas, students can calculate the values of i. The values of i follow a circular pattern. Memorising all these values can be confusing and tiring! There’s a trick to solving higher degrees of i. Students can refer to these values while solving complex numbers problems. Given below is a table with the commonly used values of i. On multiplying a negative integer to this value we get, For any complex number,Ī + ib, a and b are real numbers, where i signifies the imaginary part. Now we will try to understand the value of i in a complex number. In a complex number, only the real part can be added or subtracted to the real part and only the imaginary part can be added or subtracted with the imaginary part. All non-real values are represented by iota or “i”.Įxamples of real numbers are 10, -20, √3 etc.Įxamples of imaginary numbers are 2i, √-5, -i etc.Ĭomplex numbers are of the form a + ib, where i signifies the imaginary part. We use this value of i in understanding the concepts of complex numbers.Īs discussed earlier, the squaring of an imaginary number gives us a negative value.Īny complex number is the combination of a real number and an imaginary number.

The square root of a negative number gives us an imaginary number. To calculate the value of an imaginary number, we use the notation iota or “i”. The imaginary part of a complex number is defined as ‘iota’. This part of the article deals with it and explains if it has a specific value or not. The statement was about the exact value or measurement of what i stands for. With a better understanding of these concepts, students can solve complex number problems with more ease.Ī statement was proposed at the start of this article. We will also discuss higher degrees of “i” in detail. We will try to understand the complexities revolving around the value of i with the help of some examples. In the study of complex numbers, “i” holds significant importance. On squaring an imaginary number, we obtain a negative value.

All the basic arithmetic operators are applicable to imaginary numbers. Value of i is √-1 A negative value inside a square root signifies an imaginary value. Basically, “i” is the imaginary part which is also called iota. The imaginary part is defined with the help of i. Complex numbers are numbers with a real and imaginary part. The value i or the concept of i is used in explaining and expressing complex numbers. It is a very simple topic that requires some real good focus from the very start, so sit back, relax and enjoy this fun filled article from Vedantu on the value of i. The addition of the imaginary part to the number makes a number complex. It tells you what the exact value of i is and if it has an exact measurable value or not. The real number is denoted by a real number and the imaginary part of the complex number is denoted with the alphabet i. This is far from the truth because we can guarantee that complex numbers are very fun and easy to understand. There is a common notion that complex numbers are tough to understand and very confusing. This article has been written in order to teach you about the value of i. It is essential to know the basics of the number system in order to understand complex numbers properly. Complex numbers are some of the most interesting and fun parts of mathematics.

Iota value chart