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Tutorial - Rewriting a number using the imaginary number i ex 9, -4 root(-80)

Tutorial - Rewriting a number using the imaginary number i ex 9, -4 root(-80)

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial demonstrates how to simplify a complex radical expression involving negative numbers and imaginary terms. It begins by rewriting the negative radical using the imaginary unit 'I'. The instructor then explains the process of simplifying the square root of 80 using a factor tree, breaking it down into its linear factors. The final expression is simplified to -16 times the square root of 5 times 'I'. The tutorial concludes with a summary of the steps taken to achieve the simplified expression.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the imaginary unit used to represent the square root of -1?

J

I

L

K

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which method is used to simplify the square root of 80 in the video?

Long division

Synthetic division

Prime factorization

Factor tree

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the two numbers initially chosen to factor 80?

10 and 8

20 and 4

16 and 5

25 and 3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying 2 * 2 in the simplification process?

8

6

4

2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified form of the expression?

-4 * sqrt(5) * I

-8 * sqrt(5) * I

-20 * sqrt(5) * I

-16 * sqrt(5) * I

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