How to Work with complex numbers

In this algebra video the instructor shows how to work with complex numbers. When you have a positive number under the square root, you can easily find its value by writing it in the form of product of numbers, and then solving. That is, to find the square root of a positive number, you can find another number which multiplied by itself gives the original number. This new number becomes the square root of the original number. But when you are asked to find out the square root of a negative number, you cannot find such a number which multiplied by itself gives a negative number because a positive number multiplied by itself is positive and a negative number multiplied by itself is again positive and not negative. Therefore, the square root of a negative number cannot be any identifiable real number, and it is a complex number. This video teaches about complex numbers.

In this tutorial the instructor shows how to calculate the sum of reciprocals of complex numbers. If you have to find out the sum of the reciprocals of two complex numbers first you will have to find out the least common multiple of the denominators. To do this multiply the numerator and denominator of the first fraction by the second complex number. Similarly multiply the numerator and denominator of the second fraction by the first complex number. Now you will have two fractions whose denominators are same. Now you can just add the numerators with the common denominator. Now multiply the chi hair straighteners two.

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This series on complex numbers will help you solve equations with the cute variable "i" with ease by multiplying by the conjugate.

These equations are harder to do than normal linear equations, but they provide a nice brain challenge for you to furbish your math skills for the next time your teacher pops you a pop quiz in class.

Part 1 of 3 How to Divide complex numbers in algebra.

Part 2 of 3 How to Divide complex numbers in algebra.

Part 3 of 3 How to Divide complex numbers in algebra.

Need a little help with your math homework? No problem, the Math Centre offers students video tutorials that will provide as a reference guide for self study. Students get self study resources targeted to the needs of individual courses, and teachers gain generic mathematics support and study materials for use with students.

In these educational videos you get practice and revision materials, a chance for online practice exercises in the many branches of mathematics, including algebra, arithmetic, complex numbers, differentiation, drug dose calculations, finance, functions and graphs.

Need a little help with your math homework? No problem, the Math Centre offers students video tutorials that will provide as a reference guide for self study. Students get self study resources targeted to the needs of individual courses, and teachers gain generic mathematics support and study materials for use with students.

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In these educational videos you get practice and revision materials, a chance for online practice exercises in the many branches of mathematics, including algebra, arithmetic, complex numbers, differentiation, drug dose calculations, finance, functions and graphs.

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In these educational videos you get practice and revision materials, a chance for online practice exercises in the many branches of mathematics, including algebra, arithmetic, complex numbers, differentiation, drug dose calculations, finance, functions and graphs.