Explanation Definition used: “When radical expression appear in the denominator of the quotient, it is customary to rewrite the quotient without radicals in the denominator. This process is called rationalizing the denominator”. Calculation: The given expression is 5 6 + 4 and the denominator is 6 + 4 . The conjugate of the denominator 6 + 4 is 6 − 4 . Multiply the numerator and denominator by 6 − 4 in order to rewrite the quotient without radicals in the denominator. Rationalize the denominator as follows. 5 6 + 4 = 5 6 + 4 ⋅ 6 − 4 6 − 4 = 5 ( 6 − 4 ) ( 6 + 4 ) ( 6 − 4 ) [ Multiply the numerators and denominators ]

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ISBN: 9780134556079

Author: Sullivan, Michael, III, Struve, Katherine R., Mazzarella, Janet.

Publisher: Pearson,

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Chapter 9.6, Problem 74E

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To rationalize: The denominator of the expression 56+4.

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Chapter 9.6, Problem 73E

Chapter 9.6, Problem 75E

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Elementary & Intermediate Algebra

Ch. 9.1 - The symbol is called a _____ ______.Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E Ch. 9.1 - Prob. 10E

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To rationalize: The denominator of the expression 5 6 + 4 .

Solution Summary: The author explains how to rationalize the denominator of the expression 5sqrt6+4.

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To rationalize: The denominator of the expression 56+4.

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