SOLUTION: The question is: Simplify: (3 times the square root of 5)^3 what i did so far was wrote the whole equation out. As (3 times the square root of 5) 3 times. Then i multiplied 3,

Algebra ->  Square-cubic-other-roots -> SOLUTION: The question is: Simplify: (3 times the square root of 5)^3 what i did so far was wrote the whole equation out. As (3 times the square root of 5) 3 times. Then i multiplied 3,       Log On


   

Question 205589: The question is: Simplify: (3 times the square root of 5)^3
what i did so far was wrote the whole equation out. As (3 times the square root of 5) 3 times. Then i multiplied 3, 3 times to get 27. then i multiplied 5, 3 times to get 125. I don't know what to do next. This is a multiple choice question. The choices are: 15, 125, 5, and 5,-5.
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify: (3 times the square root of 5)^3
%283sqrt%285%29%29%5E3
= 27sqrt%28125%29
= 27sqrt%2825%2A5%29
= 135sqrt%285%29
That's not one of the choices. Is this what you meant? %283sqrt%285%29%29%5E3
Or was it (cube root of 5)^3 ?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If the problem is %28root%283%2C5%29%29%5E3, then %28root%283%2C5%29%29%5E3=5

Note: %28root%283%2Cx%29%29%5E3=x ... recall that the cube root and the exponent of 3 undo each other.