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Algebra 2 - Why do imaginary numbers repeat them selves

Algebra 2 - Why do imaginary numbers repeat them selves

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial introduces the imaginary unit i, defined as the square root of -1. It explores the powers of i, starting with i squared, which equals -1, and continues to i cubed, which equals negative i, and i to the fourth, which equals positive one. The tutorial emphasizes understanding these calculations through multiplication and inverse properties, treating i as a variable. The session concludes with a review and application of these concepts.

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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the imaginary unit 'i' defined as?

The square root of 1

The square root of -1

The cube root of -1

The square of -1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of i squared?

-i

i

-1

1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate i cubed?

Multiply i by 2

Multiply i by itself twice

Multiply i squared by i

Multiply i by -1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of i cubed?

-i

1

-1

i

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of i to the fourth power?

-1

-i

1

i

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when you multiply -i by i?

-1

1

i

-i

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cyclical pattern of powers of 'i'?

1, i, -1, -i

-1, i, 1, -i

-i, 1, i, -1

i, -1, -i, 1

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