Tutorial - Dividing complex numbers ex 20, (7 + 4i)/(2 - 3i)

Tutorial - Dividing complex numbers ex 20, (7 + 4i)/(2 - 3i)

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to handle binomials in the denominator by multiplying with the conjugate. It introduces the box method to simplify the multiplication of complex numbers, focusing on both the numerator and the denominator. The tutorial demonstrates how to simplify expressions by combining like terms and rewriting i squared as -1. The final result is presented in the form of a complex number, ensuring clarity and understanding of the process.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the purpose of multiplying by the conjugate in a binomial expression?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of using the box method for multiplying binomials.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you simplify the expression after multiplying the binomials?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to the middle terms when multiplying by the conjugate?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final result of the expression after simplification?

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