SOLUTION: I have tried to figure this problem out and this is what I come up with The directions say Simply the following expressions. Assume all variables represent nonnegative numbers whe

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I have tried to figure this problem out and this is what I come up with The directions say Simply the following expressions. Assume all variables represent nonnegative numbers whe      Log On


   

Question 148381: I have tried to figure this problem out and this is what I come up with
The directions say Simply the following expressions. Assume all variables represent nonnegative numbers when the idex is even
radical sign with the radicand is 360 i got radical sign 180 and the radical sign of 2 or would it just be the square root of 360??? Thanks
Answer by mangopeeler07(462) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28360%29
Find two factors of 360, at least one of which is a perfect square:
36 and 10

So sqrt%28360%29=sqrt%2836%29%2Asqrt%2810%29

Simplify sqrt%2836%29

sqrt%28360%29=6%2Asqrt%2810%29



You were well on your way with sqrt%282%29%2Asqrt%28180%29. Let's work with it.

Break down 180 into two factors:
36 and 5.

so sqrt%28180%29=sqrt%2836%29%2Asqrt%285%29

Again, simplify sqrt%2836%29
sqrt%28180%29=6%2Asqrt%285%29

Now plug that into 2sqrt%28180%29 and get sqrt%282%29%2A6sqrt%285%29

Simplify and get 6sqrt%2810%29

So sqrt%28360%29=6%2Asqrt%2810%29