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Chapter 8: Q 446. (page 845)

In the following exercise, multiply.

5--12-3+-75

Short Answer

Expert verified

The value of 5--12-3+-75is equal to 15+313i.

Step by step solution

01

Step 1. Given information.

An expression is 5--12-3+-75

02

Step 2. Multiply the complex numbers.

Use the complex number as, -b=bi.

So, use the FOIL method to find the multiplication.

5--12-3+-75=5-23i-3+53i=5-3+53i-23i-3+53i

03

Step 3. Simplify the obtained value.

Use the formula: ab+c=ab+ac

Thus,

5--12-3+-75=-15+253i+63i+30=15+313i

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Most popular questions from this chapter

In the following exercises, write with a rational exponent.

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(c)729c21d84

Explain the difference of finding the nthroot of a number when the index is even compared to when the index is odd.

In the following exercises, solve.
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