When rationalizing a denominator, should I multiply it by just the number that is square-rooted or the whole number? Example: 5/2{Square root sign}3: should it multiplied by the square root of 3 over the square root of three or should it be multiplied by the 2 times the square root of three over two times the square root of three?

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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When rationalizing a denominator, should I multiply it by just the number that is square-rooted or the whole number?

Example: 5/2{Square root sign}3: should it multiplied by the square root of 3 over the square root of three or should it be multiplied by the 2 times the square root of three over two times the square root of three?

Expert Solution
Step 1

Steps for rationalizing a denominator is

  1. Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator.
  2. Step 2: Make sure all radicals are simplified..
  3. Step 3: Simplify the fraction if needed.
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