Algebra 2 - Learn how to divide an imaginary number by a complex number by rationalizing denominator

Algebra 2 - Learn how to divide an imaginary number by a complex number by rationalizing denominator

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial addresses a common mistake students make when dealing with the imaginary unit 'I' in the denominator of a fraction. It explains why multiplying by I/I is not effective when a binomial is present in the denominator, as it leads to an unwanted imaginary component. Instead, the tutorial introduces the concept of multiplying by the conjugate to eliminate the imaginary unit from the denominator. The process involves using the difference of squares and simplifying the expression to achieve a standard form solution. The final answer is presented in the form A+BI, ensuring clarity and correctness.

Read more

2 questions

Show all answers

1.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you rewrite the expression in standard form after simplification?

Evaluate responses using AI:

OFF

2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final answer when the expression is put into standard form?

Evaluate responses using AI:

OFF