Simplify the expression.53 + 3/24 - V192Select the correct choice below and fill in any answer boxes in your choice.O A. 55 + 324 - V192 =(Simplify your answer. Type an exact answer, using radicals as needed.)OB. The expression cannot be simplified.%3D

the equation we have 533+3243-1923

Answered: Simplify the expression. 53 + 3/24 -…

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter9: Roots And Radicals

Section9.3: Add And Subtract Square Roots

Problem 232E: Explain the process for determining whether two radicals are like or unlike. Make sure your answer...

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Related questions

Question

Simplify the expression.
53 + 3/24 - V192
Select the correct choice below and fill in any answer boxes in your choice.
O A. 55 + 324 - V192 =
(Simplify your answer. Type an exact answer, using radicals as needed.)
OB. The expression cannot be simplified.
%3D

Expert Solution

Step 1

the equation we have

$5 \sqrt[3]{3} + 3 \sqrt[3]{24} - \sqrt[3]{192}$

Step 2

solving the above equation we have

$5 {(3)}^{1 / 3} + 3 {(24)}^{1 / 3} - {(192)}^{1 / 3} = 5 {(3)}^{1 / 3} + 3 {(8.3)}^{1 / 3} - {(64.3)}^{1 / 3} = 5 {(3)}^{1 / 3} + 3 {(2^{3} . 3)}^{1 / 3} - {(4^{3} . 3)}^{1 / 3} = 5 {(3)}^{1 / 3} + 3.2 {(3)}^{1 / 3} - 4 {(3)}^{1 / 3} = 5 {(3)}^{1 / 3} + 6 {(3)}^{1 / 3} - 4 {(3)}^{1 / 3} = 7 {(3)}^{1 / 3} = 7 \sqrt[3]{3}$