SOLUTION: Hi! I need to reduce to lowest terms or rationalize. (2(sqrt)3-1)(3(sqrt)3+4) and ^3(sqrt)(-8x^12) thanks in advance for the help

Algebra ->  Systems-of-equations -> SOLUTION: Hi! I need to reduce to lowest terms or rationalize. (2(sqrt)3-1)(3(sqrt)3+4) and ^3(sqrt)(-8x^12) thanks in advance for the help      Log On


   

Question 66242: Hi! I need to reduce to lowest terms or rationalize.
(2(sqrt)3-1)(3(sqrt)3+4)
and
^3(sqrt)(-8x^12)
thanks in advance for the help
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Not quite sure of what you mean here, on the 1st one, I assume it's:
:
(2*SqRt(3) - 1) (3*SqRt(3) + 4)
:
FOILing this:
6(3) + 8*SqRt(3) - 3*SqRt(3) - 4
18 - 4 + 5*SqRt(3)
14 + 5*SqRt(3)
:
:
On this one I will make a wild guess that you mean:
CubeRt(8x^12)
:
Extract the cuberoot of 8
2*CubeRt(x^12)
:
Extract the cuberoot of x^12
2x^4