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Chapter 10: Problem 47
In Exercises \(33-62,\) find each product. Write imaginary results in the form \(a+b i\) $$(-5+3 i)(-5-3 i)$$
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The graph for Exercises \(55-56\) shows that the less income people have, the more likely they are to report fair or poor health. What explanations can you offer for this trend?
In Exercises \(105-112,\) add or subtract as indicated. Begin by rationalizing denominators for all terms in which denominators contain radicals. $$\sqrt[3]{25}-\frac{15}{\sqrt[3]{5}}$$
In Exercises \(105-112,\) add or subtract as indicated. Begin by rationalizing denominators for all terms in which denominators contain radicals. $$\sqrt[4]{8}-\frac{20}{\sqrt[3]{2}}$$
In Example 6 of the section, we used a square root function that modeled an increase in the percentage of U.S. women in the labor force, although the rate of increase in this percentage was leveling off. Describe an event that might occur in the future that could result in an ever-increasing rate in the percentage of women in the labor force. Would a square root function be appropriate for modeling this trend? Explain your answer.
In Exercises \(65-74,\) simplify each radical expression and then rationalize the denominator. $$-\sqrt{\frac{75 a^{5}}{b^{3}}}$$
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