SOLUTION: It would be greatly appreciated if you could help with this problem. I need to rationalize the denominator: {{{5a/root(3,25a)}}}

Algebra ->  Square-cubic-other-roots -> SOLUTION: It would be greatly appreciated if you could help with this problem. I need to rationalize the denominator: {{{5a/root(3,25a)}}}      Log On


   

Question 484007: It would be greatly appreciated if you could help with this problem. I need to rationalize the denominator: 5a%2Froot%283%2C25a%29
Found 2 solutions by Tatiana_Stebko, Alan3354:
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
5a%2Froot%283%2C25a%29 multiply numeratoe and denominator by root%283%2C5a%5E2%29

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
rationalize the denominator: 5a%2Froot%283%2C25a%29
--------------
= 5a%2Aroot%283%2C%2825a%29%5E2%29%2Froot%283%2C%2825a%29%5E3%29
= 5a%2Aroot%283%2C%2825a%29%5E2%29%2F25a%29
= 5a%2Aroot%283%2C%28625a%29%5E2%29%2F25a%29
= 5a%2Aroot%283%2C125%2A5a%5E2%29%2F25a%29
= 5a%2A5%2Aroot%283%2C5a%5E2%29%2F25a%29
= root%283%2C5a%5E2%29