Tutorial - Finding the absolute value of a complex number ex 1, (4 + 3i)

Tutorial - Finding the absolute value of a complex number ex 1, (4 + 3i)

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to determine the absolute value of a complex number. It begins by introducing the formula for the absolute value, sqrt(a^2 + b^2), where a and b are the real and imaginary components, respectively. The tutorial then demonstrates the process using the example of the complex number 4 + 3i, identifying a as 4 and b as 3. The calculation involves squaring these components, adding them, and taking the square root of the sum, resulting in an absolute value of 5. The video concludes with a recap of the steps involved in finding the absolute value of a complex number.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for finding the absolute value of a complex number?

a^2 + b^2

sqrt(a^2 + b^2)

a + b

sqrt(a + b)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the complex number 4 + 3i, what is the value of 'a'?

3

4

7

5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the complex number 4 + 3i, what is the value of 'b'?

3

4

7

5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of 4 squared plus 3 squared?

25

9

16

7

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the absolute value of the complex number 4 + 3i?

6

3

4

5