Explanation Consider the statement “One need to know how to add and subtract the radical expression before you can rationalize denominator with two terms”. Since after multiplying the radical expression to denominator, it is not certain that the expression you get completely solved, it may take add and subtract in the expression. For example, Suppose the expression is 5 + 1 . Now multiply with conjugate numerator and denominator. 5 + 1 = ( 5 + 1 ) ⋅ ( 5 − 1 ) ( 5 − 1 ) = 5 − 1 5 − 1 = 4 5 − 1 Now add and subtract 2 to the numerator as, 5 + 1 = 4 + 2 − 2 5 − 1 Further simplify, 5 + 1 = 4 + 2 5 − 1 − 2 5 − 1 = ( 4 + 2 5 − 1 ) × 5 + 1 5 + 1 − ( 2

Elementary Algebra: Concepts and Applications (10th Edition)

10th Edition

ISBN: 9780134441375

Author: Marvin L. Bittinger, David J. Ellenbogen, Barbara L. Johnson

Publisher: PEARSON

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Chapter 8.4, Problem 86ES

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Why must one should know to add and subtract the radical expressions before rationalizing the denominators with two terms.

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Chapter 8.4, Problem 85ES

Chapter 8.4, Problem 87ES

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Chapter 8 Solutions

Elementary Algebra: Concepts and Applications (10th Edition)

Ch. 8.1 - Find the square roots of 81.Ch. 8.1 - Prob. 2YT Ch. 8.1 - Prob. 3YT Ch. 8.1 - Prob. 4YT Ch. 8.1 - Prob. 5YT Ch. 8.1 - Prob. 6YT Ch. 8.1 - Prob. 7YT Ch. 8.1 - Prob. 8YT Ch. 8.1 - Prob. 1CYU Ch. 8.1 - Prob. 2CYU

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Why must one should know to add and subtract the radical expressions before rationalizing the denominators with two terms.

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Why must one should know to add and subtract the radical expressions before rationalizing the denominators with two terms.

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