SOLUTION: Multiply and simplify by factoring. Assume that all expressions nder radicals represent nonnegative numbers: (^3sqrt(y^10))(^3sqrt(16y^11)) Thank you for your help!

Algebra ->  Rational-functions -> SOLUTION: Multiply and simplify by factoring. Assume that all expressions nder radicals represent nonnegative numbers: (^3sqrt(y^10))(^3sqrt(16y^11)) Thank you for your help!      Log On


   

Question 144600: Multiply and simplify by factoring. Assume that all expressions nder radicals represent nonnegative numbers:
(^3sqrt(y^10))(^3sqrt(16y^11))
Thank you for your help!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
root%283%2Cy%5E10%29%2Aroot%283%2C16y%5E11%29 Start with the given expression


y%5E3%2Aroot%283%2Cy%29%2Aroot%283%2C16y%5E11%29 Simplify root%283%2Cy%5E10%29 to get y%5E3%2Aroot%283%2Cy%29


y%5E3%2Aroot%283%2Cy%29%2A2y%5E3%2Aroot%283%2C2y%5E2%29 Simplify root%283%2C16y%5E11%29 to get 2y%5E3%2Aroot%283%2C2y%5E2%29


2y%5E6%2Aroot%283%2C2y%5E3%29 Multiply and combine the roots


2y%5E6%2Ay%2Aroot%283%2C2%29 Simplify root%283%2C2y%5E3%29 to get y%2Aroot%283%2C2%29


2y%5E7%2Aroot%283%2C2%29 Multiply


So root%283%2Cy%5E10%29%2Aroot%283%2C16y%5E11%29 simplifies to 2y%5E7%2Aroot%283%2C2%29