SOLUTION: Hello I need help with a problem. I need to Simplify each expression. All variables represent positive numbers. Sqrt = radical sign. sqrt 8a^9/b^3

Algebra ->  Radicals -> SOLUTION: Hello I need help with a problem. I need to Simplify each expression. All variables represent positive numbers. Sqrt = radical sign. sqrt 8a^9/b^3      Log On


   

Question 351721: Hello I need help with a problem. I need to Simplify each expression. All variables represent positive numbers. Sqrt = radical sign.
sqrt 8a^9/b^3
Found 2 solutions by jim_thompson5910, Fombitz:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hints:

Use the identities sqrt%28x%2Fy%29=sqrt%28x%29%2Fsqrt%28y%29 and sqrt%28xy%29=sqrt%28x%29%2Asqrt%28y%29


Also...

sqrt%288%29=sqrt%284%2A2%29=sqrt%284%29%2Asqrt%282%29=2%2Asqrt%282%29 which means that sqrt%288%29=2%2Asqrt%282%29



which means that sqrt%28a%5E9%29=a%5E4%2Asqrt%282%29


sqrt%28b%5E3%29=sqrt%28b%5E2%2Ab%29=sqrt%28b%5E2%29%2Asqrt%28b%29=b%2Asqrt%28b%29 which means that sqrt%28b%5E3%29=b%2Asqrt%28b%29

Answer by Fombitz(32388) About Me  (Show Source):