Beginning Algebra, 11th Edition

OBJECTIVE 3 Write radical expressions with quotients in lowest terms. Writing a Radical Quotient in Lowest Terms Write the quoti ...

35.Concept Check In Example 1(b),a student simplified by combining the and the to get , which is inco ...

Brain Busters Perform each operation and express the answer in simplest form. Solve each problem. 85.T ...

530 CHAPTER 8 Roots and Radicals Students of ...

Using the Squaring Property of Equality Solve Use the squaring property to square each side. On the left,. Subtract 1. CHECK Ori ...

Using the Squaring Property with a Radical on Each Side Solve Squaring property Subtract x. Divide by 8. CHECK Original equation ...

SECTION 8.6 Solving Equations with Radicals 533 Solving a Radical Equation Step 1 Isolate a radical.Arrange the terms so that a ...

The equation is quadratic because of the -term. To solve it, as shown in Section 6.5,we must write the equation in standard form ...

Using the Squaring Property Twice Solve Square each side. Subtract 9. Subtract x. Divide by 6. Square each side again. Apply the ...

(b) Cube each side. Apply the exponents. Standard form Factor. or Zero-factor property or Solve. CHECK Let Let ✓ True ✓ True Bot ...

Solve each equation. See Examples 5 and 6. 51.Concept Check Consider the ...

Solve each problem. Give answers to the nearest tenth. 73.To estimate the speed at which a car was traveling at the time of an a ...

SECTION 8.6 Solving Equations with Radicals 539 EXERCISES 79 – 84 FOR INDIVIDUAL OR GROUP WORK The most common formula for the a ...

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 ...