Explanation Procedure used: Step to Reduce a Radical to Simplest form : 1. Remove all perfect n t h -power factors form a radical of order n . 2. If possible, reduce the order of the radical. Formula used: Laws of Exponents: 1. a n n = ( a n ) n = a 2. a n b n = a b n 3. a n m = a m n 4. a n b n = a b n , ( b ≠ 0 ) Calculation: The given radicals are 3 x 2 3 ; 2 y 1 2 ; ( 5 z ) 1 4 . Use the required laws of exponent in order to change the radicals 3 x 2 3 ; 2 y 1 2 ; ( 5 z ) 1 4 of the same order as follows. Here, it is observed that in the given radicals the LCM of the index of radicals is 12. So, change the other radicals into the radical of index 12. Change the radical 3 x 2 3 into the radical of index 12 as follows. 3 x 2 3 = 3 x 2 3 × 4 4 [ Multiplied and divided the exponent by 4 ] = 3 x 8 12 = 3 x 8 12 Similarly, change the radical 2 y 1 2 into the radical of index 12 as follows

Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

11th Edition

ISBN: 9780137554843

Author: Allyn Washington, Richard Evans

Publisher: PEARSON+

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Chapter 11.3, Problem 68E

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To change: The radicals 3x23 ; 2y12 ; (5z)14 to the radicals of same order.

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Chapter 11.3, Problem 67E

Chapter 11.3, Problem 69E

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Chapter 11 Solutions

Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

Ch. 11.1 - Simplify: a(x−1y3)2 Ch. 11.1 - Simplify: Ch. 11.1 - Prob. 3PE Ch. 11.1 - Simplify: (3a)−1 − 3a−2 Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...

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To change: The radicals 3 x 2 3 ; 2 y 1 2 ; ( 5 z ) 1 4 to the radicals of same order.

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To change: The radicals 3x23 ; 2y12 ; (5z)14 to the radicals of same order.

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