Multiplying two imaginary numbers then simplifying the expression to a real number

Multiplying two imaginary numbers then simplifying the expression to a real number

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to multiply two imaginary numbers by treating them as monomials. It covers the multiplication of coefficients and the concept of I squared, which equals -1. The final result is obtained by multiplying the product of the coefficients with -1, resulting in a positive number.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in multiplying two imaginary numbers like -3i and 7i?

Multiply the coefficients

Add the coefficients

Subtract the coefficients

Divide the coefficients

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When multiplying -3i and 7i, what is the result of multiplying the coefficients?

-21

21

-10

10

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does i squared equal in terms of real numbers?

-1

1

0

i

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After simplifying i squared to -1, what is the final result of multiplying -3i and 7i?

-21

21

-1

1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of i in imaginary numbers?

It represents the square root of 2

It represents the square root of -1

It represents the square root of 1

It represents the square root of 0