Explanation Given Information: The provided expression is 3 + 2 8 − x . 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, 3 + 2 8 − x Conjugate of the denominator 8 − x is 8 + x

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ISBN: 9781323235911

Author: BITTINGER

Publisher: Pearson Custom Publishing

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Chapter 14.4, Problem 63ES

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To calculate: The rationalization of the denominator of the expression 3+28−x.

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Chapter 14.4, Problem 62ES

Chapter 14.4, Problem 64ES

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The rationalization of the denominator of the expression 3 + 2 8 − x .

Solution Summary: The author explains how to rationalize the denominator of the expression 3+sqrt28-

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