SOLUTION: I am having difficulty trying to simplify radical equations that use exponents. The problem I ma trying to solve is: 5x{sqrt(448x^5y^3}-3y{sqrt(63x^7y} I understand I am s

Algebra ->  Radicals -> SOLUTION: I am having difficulty trying to simplify radical equations that use exponents. The problem I ma trying to solve is: 5x{sqrt(448x^5y^3}-3y{sqrt(63x^7y} I understand I am s      Log On


   

Question 141944: I am having difficulty trying to simplify radical equations that use exponents.
The problem I ma trying to solve is:
5x{sqrt(448x^5y^3}-3y{sqrt(63x^7y}
I understand I am supposed to factor down the 448 and 63, but I am not sure what is supposed to happen with the exponents. Any help is greatly appreciated.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
5x{sqrt(448x^5y^3}-3y{sqrt(63x^7y}
:
5x%2Asqrt%28448x%5E5y%5E3%29 - 3y%2Asqrt%2863x%5E7y%29
Factor inside the radical to reveal the perfect squares:
5x%2Asqrt%2864%2A7%2Ax%5E4%2Ax%2Ay%5E2%2Ay%29 - 3y%2Asqrt%289%2A7%2Ax%5E6%2Ax%2Ay%29
Extract those perfect squares:
5x%2A8%2Ax%5E2%2Ay%2Asqrt%287%2Ax%2Ay%29 - 3y%2A3%2Ax%5E3%2Asqrt%287%2Ax%2Ay%29
Combine like terms
40x%5E3y%2Asqrt%287xy%29 - 9x%5E3y%2Asqrt%287xy%29
These are like terms so we have:
31x%5E3y%2Asqrt%287xy%29
:
Did this help you?