Explanation Definition used: “If the denominator (or numerator) is the sum (or difference) of two terms, at least one of which is a radical, the fraction is rationalized by multiplying both the numerator and the denominator by the difference (or sum) of the same two terms.” Calculation: The given expression is 4 6 − 2 7 . The denominator of the given expression is the difference of two terms, in which one is radical. Therefore, rationalizing the fraction means to multiply both the numerator and the denominator by the sum of the two terms in the denominator. Rationalize the expression 4 6 − 2 7 as follows. 4 6 − 2 7 = 4 6 − 2 7 × 6 + 2 7 6 + 2 7 = 4 ( 6 + 2 7 ) ( 6 − 2 7 ) ( 6 + 2 7 </

11th Edition

ISBN: 9780134437705

Author: Washington

Publisher: PEARSON

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Chapter 11, Problem 72RE

To determine

To rationalize: The denominator of the expression 46−27 and simplify the fraction.

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Chapter 11, Problem 71RE

Chapter 11, Problem 73RE

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To rationalize: The denominator of the expression 4 6 − 2 7 and simplify the fraction.

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To rationalize: The denominator of the expression 46−27 and simplify the fraction.

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Chapter 11 Solutions