Explanation Given Information: The provided expression is 4 + 3 a − t Formula used: In order to rationalize the denominator, multiply by 1 using the conjugate of the denominator. The conjugate of a + b is a − b . The difference of the square property: ( a + b ) ( a − b ) = a 2 − b 2 If ( p + q ) and ( r + s ) are the two radical expressions, then according to FOIL method the product of the two can be written as: ( p + q ) ( r + s ) = p r + p s + q r + q s Calculation: Consider the expression, 4 + 3 a − t Conjugate of the denominator a − t is a + t . Multiply the expression by 1 using the conjugate a + t in order to rationalize the denominator, 4 + 3 a − t = 4 + 3 a − t ⋅ a + t a

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ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Chapter 14.4, Problem 67ES

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To calculate: The rationalization of the denominator of the expression 4+3a−t.

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Chapter 14.4, Problem 66ES

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Chapter 14 Solutions

Developmental Mathematics (9th Edition)

Ch. 14.1 - Prob. 1SR Ch. 14.1 - Prob. 2SR Ch. 14.1 - Prob. 1DE Ch. 14.1 - Prob. 2DE Ch. 14.1 - Prob. 3DE Ch. 14.1 - Prob. 4DE Ch. 14.1 - Prob. 5DE Ch. 14.1 - Prob. 6DE Ch. 14.1 - Prob. 7DE Ch. 14.1 - Prob. 8DE

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The rationalization of the denominator of the expression 4 + 3 a − t .

Solution Summary: The author explains the formula used to calculate the rationalization of the denominator of 4+sqrt3.

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