SOLUTION: Write the following in simplified form by rationalizing the denominator. Assume all variables represent positive numbers. 1. sqrt ((125a^3)/(3b)) My answer was 5 sqrt(5/3) sqrt

Algebra ->  Radicals -> SOLUTION: Write the following in simplified form by rationalizing the denominator. Assume all variables represent positive numbers. 1. sqrt ((125a^3)/(3b)) My answer was 5 sqrt(5/3) sqrt      Log On


   

Question 963315: Write the following in simplified form by rationalizing the denominator. Assume all variables represent positive numbers.
1. sqrt ((125a^3)/(3b))
My answer was 5 sqrt(5/3) sqrt(a^3/b), but it was incorrect.
Found 2 solutions by Fombitz, Alan3354:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Not incorrect but not simplified enough, you have an a%5E2 term under the square root that you can pull out.
sqrt+%28%28125a%5E3%29%2F%283b%29%29=5%2Asqrt%285%2F3%29a%2Asqrt%28a%2Fb%29

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Write the following in simplified form by rationalizing the denominator. Assume all variables represent positive numbers.
1. sqrt ((125a^3)/(3b))
My answer was 5 sqrt(5/3) sqrt(a^3/b), but it was incorrect.
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Fractions in radicals are not allowed.
5+sqrt%285%2F3%29%2Asqrt%28a%5E3%2Fb%29
= 5+sqrt%2815%2F9%29%2Asqrt%28a%5E2%2Aab%2Fb%5E2%29
= %285%2F3%29sqrt%2815%29%2A%28a%2Fb%29%2Asqrt%28a%29
= %285a%2F3b%29%2Asqrt%2815a%29