Complex Numbers - MAQ

Maths MAQ

Is Every Real Number a Complex Number?

Last Updated: 29 August 2022

A complex number is referred to as the sum of a real number and an imaginary number. It is generally expressed as "z" and is written in the ...read more

How to Simplify Complex Fractions?

Last Updated: 21 February 2024

Fractions are defined as numerical figure that represents a portion of a whole. A fraction is a portion or section of any quantity taken fro ...read more

How to evaluate Complex Numbers?

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Last Updated: 24 July 2022

Complex Numbers are the numbers of the form (a + i b) where a b are the real numbers and i is an imaginary unit called iota that represents ...read more

How to distribute complex numbers?

Last Updated: 30 December 2023

Complex numbers are used to find the square root of negative numbers. It comprises the real and imaginary parts. The complex number is of th ...read more

How are complex numbers used in real life?

Last Updated: 18 February 2024

The complex number is derived because of the roots of any nth equation. If the equation has real roots it is fine else equation may have roo ...read more

How to find the Absolute Value of a Complex Number?

Math-Concepts

Last Updated: 30 December 2023

The distance between the origin and the given point on a complex plane is termed the absolute value of a complex number. The absolute value ...read more

How to find cube of an imaginary number?

Last Updated: 15 March 2022

We can all find the square root of real positive numbers but it was not possible with negative real numbers. Therefore to find the roots of ...read more

Show that the product of z̄ = r[cos(-θ) + isin(-θ)] and z = r[cosθ + isinθ] is equal to the square of the modulus

Last Updated: 30 December 2023

Complex numbers are the summation of both real and imaginary parts, represented usually as a + ib, where i is called the imaginary part and ...read more

How to use DeMoivre's Theorem to find the value of i√3?

Last Updated: 30 December 2023

A complex number can be called a summation of both real and imaginary numbers written or represented usually in the form of z = a + ib, wher...read more

Find the fourth roots of 5(1 + i√3)

Last Updated: 30 January 2024

Real and imaginary numbers combine to form complex numbers. The imaginary component, I (iota), indicates a square root of -1. The imaginary ...read more

How to use DeMoivre's theorem to simplify (1 + √3i)6?

Last Updated: 25 June 2022

Complex numbers are the numbers of the form a + ib, such that a and b are real numbers and i (iota) is the imaginary component and represent...read more

What are the Arithmetic rules for Complex Numbers?

Last Updated: 28 December 2021

In the Number system, the real numbers can be called the sum of the rational and the irrational numbers. All arithmetic operations may be do ...read more

How to use DeMoivre's Theorem to simplify [2(cos π/3 + i sin π/3)]5?

Last Updated: 30 January 2024

AvichalbhartiComplex numbers are the numbers of the form a + ib, such that a and b are real numbers and i (iota) is the imaginary component ...read more

How to convert 1- i to polar form?

Last Updated: 21 December 2021

A complex number is one that is a combination of both real and imaginary numbers. It has two components or parts, the one which consists of ...read more