Beginning Algebra, 11th Edition

540 CHAPTER 8 Roots and Radicals OBJECTIVES OBJECTIVE 1 Define and use expressions of the form We now con- sider how an expressi ...

Using the Definition of Evaluate. (a) (b) (c) - 32 4/5= - 132 1/5 24 = - 24 = - 16 9 3/2= 19 1/2 23 = 33 = 27 64 2/3= 164 1/3 22 ...

(c) 19 1/4 22 = 921 1/4^2 = 9 2/4= 9 1/2= 29 = 3 542 CHAPTER 8 Roots and Radicals NOW TRY EXERCISE 4 Simplify. Write each answer ...

4. A. B. C. D. 5 Simplify by first writing in radical form. See Examples 1 – 3. ...

8.1 square root principal square root negative square root radicand radical radical expression perfect square cube root fourth r ...

8.1 Evaluating Roots Ifais a positive real number, then is the positive square root of a; is the negative square root of a; Ifai ...

8.5 More Simplifying and Operations with Radicals When appropriate, use the rules for adding and multi- plying polynomials to si ...

8.7 Using Rational Numbers as Exponents Assume that mand nare integers, and am/n 1 am/n 1 a 02 am/n 2 namA 2 naB m a1/n 2 ...

Simplify each expression. Assume that all variables represent nonnegative real numbers. 8. ...

8.7 Simplify each expression. Assume that all variables represent positive real numbers. 28494 x1/4#x5/4 x3/ ...

Simplify where possible. Solve each problem. 15.Find the measure of the unknown leg of thi ...

CHAPTERS 1–8 Cumulative Review Exercises 551 Simplify each expression. Solve each equation or inequality. ...

17.Subtract from 18.Divide Factor each polynomial completely. Perform each indicated operation. Express answers in l ...

Recreational fishing is big business in the United States. In 2006, nearly 40 million anglers generated over $45.3 billion in re ...

OBJECTIVE 2 Solve equations of the form where In Example 1(b),we might also have solved by noticing that xmust be a num- ber who ...

Solving Quadratic Equations of the Form Solve each equation. Write radicals in simplified form. (a) By the square root property, ...

CHECKSubstitute each solution in the original equation. Let Let Subtract. Subtract. ✓ True ✓ True The solution set is (b) or Squ ...

Approximate the length of a bass weighing 2.20 lb and having girth 10 in. (Source: Sacramento Bee.) Given formula Multiply by 12 ...

35.Concept Check When a student was asked to solve , she wrote as her answer. Her t ...

63.The area of a circle with radius ris given by the formula If a circle has area 81 , what is its radius? 64.The surface area S ...