SOLUTION: Perform the indicated operation. 1) cubed root of 9x squared TIMES cubed root of 3x 2) ( 2 squared root of 3 MINUS 3)(2 square root of 3 + 3)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Perform the indicated operation. 1) cubed root of 9x squared TIMES cubed root of 3x 2) ( 2 squared root of 3 MINUS 3)(2 square root of 3 + 3)      Log On


   



Question 124530: Perform the indicated operation.
1) cubed root of 9x squared TIMES cubed root of 3x
2) ( 2 squared root of 3 MINUS 3)(2 square root of 3 + 3)

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Perform the indicated operation.
:
1) cubed root of 9x squared TIMES cubed root of 3x
CubeRt%289x%5E2%29 * CubeRt%283x%29
can be combined, do the math, and note that 27x^3 is a perfect cube
CubeRt%289x%5E2%2A3x%29 = CubeRt%2827x%5E3%29 = 3x
:
2) ( 2 squared root of 3 MINUS 3)(2 square root of 3 + 3)
(2%2Asqrt%283%29+-+3)(+2%2Asqrt%283%29+%2B+3)
FOIL this
4(3) + 6sqrt%283%29 - 6*sqrt%283%29 - 9
Note that the two radicals in the middle have opposite signs so they cancel, leaving:
12 - 9 = 3
:
Did this make sense to you? Any questions?