SOLUTION: Simplify as much as possible. 4w√(54u^3)+u√(96uw^2) Assume that all variables represent positive real numbers.

Algebra ->  Square-cubic-other-roots -> SOLUTION: Simplify as much as possible. 4w√(54u^3)+u√(96uw^2) Assume that all variables represent positive real numbers.      Log On


   

Question 984651: Simplify as much as possible.
4w√(54u^3)+u√(96uw^2)
Assume that all variables represent positive real numbers.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
4w%2Asqrt%2854u%5E3%29%2Bu%2Asqrt%2896uw%5E2%29
Factor inside the radicals to reveal perfect squares
4w%2Asqrt%289%2A6%2Au%5E2%2Au%29%2Bu%2Asqrt%2816%2A6%2Au%2Aw%5E2%29
Extract the square root of those perfect squares
3%2Au%2A4w%2Asqrt%286u%29%2B4%2Aw%2Au%2Asqrt%286u%29
12%2Au%2Aw%2Asqrt%286u%29%2B4%2Au%2Aw%2Asqrt%286u%29
like terms so we have
16%2Au%2Aw%2Asqrt%286u%29