Algebra 2 Learn how to simplify an expression by rationalizing denominator with complex numbers -7/i

Algebra 2 Learn how to simplify an expression by rationalizing denominator with complex numbers -7/i

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers basic arithmetic operations, focusing on division. It introduces the concept of imaginary numbers, particularly the imaginary unit 'i', and explains how to handle division involving imaginary numbers. The tutorial demonstrates the process of simplifying expressions with imaginary numbers in the denominator by multiplying the numerator and denominator by 'i'. The final result is a simplified expression without 'i' in the denominator.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following operations is NOT mentioned in the introduction?

Multiplication

Exponentiation

Subtraction

Addition

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of dividing 3 into 12?

3

4

5

6

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the imaginary unit 'i' represent?

The square root of 2

The square root of 0

The square root of -1

The square root of 1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why do we multiply the numerator and denominator by 'i' when dividing by 'i'?

To add 'i' to both parts

To eliminate 'i' from the numerator

To eliminate 'i' from the denominator

To make the expression more complex

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final result when simplifying -7i divided by i^2?

7

7i

-7

-7i