On every problem, show all your computations
On every problem, show all your computations, using the examples as guidelines. This is particularly important for the problems that have the answers given, as all the credit for these problems depends upon showing the correct computations. CONJUGATES: For each binomial, write its conjugate, and the product of the binomial and conjugate. Examples: Binomial Conjugate Product (Binomal Conjugate) E1. (a+b) (a-b) (a+b)(a-b)=a2-ab+ab-b2=a2-b2 ANS: a2-b2 (This is an important general result!) E2. ; ANS: -1 Problems: Binomial Conjugate Product (Binomal Conjugate) 1. Ans: -1 2. 3. 4. 5. RATIONALIZING DENOMINATORS. Remove the radical expression from the denominator of a fraction by multiplying both the numerator and the denominator by the conjugate of the denominator. Examples: E3. ANS: E4. ANS: Problems. 5. 6. 7. 8. 9. 10. MULTIPLYING AND DIVIDING RADICAL EXPRESSIONS: Perform the following operations. Examples: E5. E6. E7. Problems: 11. 12. 13. 14. 15. ADDING AND SUBTRACTING RADICAL EXPRESSIONS: Rationalize the expressions, as necessary, and then perform the indicated additions or subtractions. Examples: E8. E9. Problems: 16. 17. 18. 19. 20
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