### Home > INT3 > Chapter 5 > Lesson 5.1.2 > Problem 5-38

5-38.

For homework, Crystal must simplify the expression

Show Crystal the steps she could take to get

. What steps do you think Crystal took to get

as a result? What is

? What does she need to consider to avoid making this mistake in the future?

She needs to convert to imaginary form before completing operations.

Crystal’s example means that

is not always true for real numbers and. What restriction needs to be placed on the numbers*a*and*b*?They must be non-negative real numbers.