Chapter 8: Q. 574. (page 856)

In the following exercises, multiply using the Product of Complex Conjugates Pattern.
$(9 - 2 i) (9 + 2 i)$

Short Answer

Expert verified

The product of given complex numbers is $85$ .

Step by step solution

Step 1. Given information.

The given complex numbers are $(9 - 2 i) (9 + 2 i)$

Step 2. Multiply the complex numbers.

According to the Product of Complex Conjugates,

If $a, b$ are real numbers, then

$(a - i b) (a + i b) = a^{2} + b^{2}$

Using the Product of complex conjugates, we will get

$(9 - 2 i) (9 + 2 i) = 9^{2} + 2^{2} = 81 + 4 = 85$

Step 3. Conclusion.

The product of given complex numbers is $85$ .

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In the following exercises, multiply using the Product of Complex Conjugates Pattern.
$(9 - 2 i) (9 + 2 i)$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Multiply the complex numbers.

Step 3. Conclusion.

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In the following exercises, multiply using the Product of Complex Conjugates Pattern.9-2i9+2i

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Multiply the complex numbers.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

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Study anywhere. Anytime. Across all devices.

In the following exercises, multiply using the Product of Complex Conjugates Pattern.
$(9 - 2 i) (9 + 2 i)$