Intermediate Algebra (11th edition)

Brain Busters Rationalize each denominator. Assume that all radicals represent real num- bers and no denominators are 0. ...

SUMMARY EXERCISES on Operations with Radicals and Rational Exponents 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22 ...

468 CHAPTER 8 Roots, Radicals, and Root Functions OBJECTIVES An equation that includes one or more radical expressions with a va ...

Using the Power Rule Solve Step 1 25 x- 1 =- 3 25 x- 1 + 3 = 0. EXAMPLE 2 SECTION 8.6 Solving Equations with Radicals 469 Solvin ...

Step 3 The new equation is quadratic, so write it in standard form. Equation from Step 2 Subtract 4. Add x. Factor. or Zero-fact ...

SECTION 8.6 Solving Equations with Radicals 471 The equation still contains a radical, so isolate the radical term on the right ...

OBJECTIVE 4 Use the power rule to solve a formula for a specified variable. Solving a Formula from Electronics for a Variable An ...

SECTION 8.6 Solving Equations with Radicals 473 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35.Conce ...

Solve each formula for the indicated variable. See Example 7.(Source:Cooke, Nelson M., and Joseph B. Orleans, Mathematics Essent ...

We can use this definition to define any square root of a negative real number. SECTION 8.7 Complex Numbers 475 For any positive ...

Dividing Square Roots of Negative Numbers Divide. (a) Quotient rule Divide. = 5 = 225 = B 75 3 = i 275 i 23 2 - 75 2 - 3 EXAMPLE ...

OBJECTIVE 3 Add and subtract complex numbers.The commutative, asso- ciative, and distributive properties for real numbers are al ...

(c) FOIL Multiply. = 17 - 7 i = 2 - 7 i+ 15 = 2 - 7 i- 151 - 12 = 2 - 10 i+ 3 i- 15 i^2 = 2112 + 21 - 5 i 2 + 3 i 112 + 3 i 1 - ...

Substitute for = 1 - i = - i+ 1 1 = - 1 i^2. - i- 1 - 12 - 1 - 12 SECTION 8.7 Complex Numbers 479 (b) = Distributive property; m ...

Multiply or divide as indicated. See Examples 2 and 3. 19. 20. 21. 22. 23. 24. 25. 26. 27.Every real number is a ...

Find each power of i. See Example 8. 85.A student simplified as follows: Explain the mathe ...

482 CHAPTER 8 Roots, Radicals, and Root Functions STUDY SKILLS Your math final exam is likely to be a comprehensive exam, which ...

8.1 radicand index (order) radical principal root radical expression square root function cube root function 8.3 simplified radi ...

8.1 Radical Expressions and Graphs means is the principal nth root of a. if nis even if nis odd. Functions Defined by Radical Ex ...

Distance Formula The distance dbetween and is d 21 x 2 x 122  1 y 2  y 122. 1 x 1 , y 12 1 x 2 , y 22 Find the distance betw ...