Question 124530
Perform the indicated operation.
:
1) cubed root of 9x squared TIMES cubed root of 3x
{{{CubeRt(9x^2)}}} * {{{CubeRt(3x)}}}
can be combined, do the math, and note that 27x^3 is a perfect cube
{{{CubeRt(9x^2*3x)}}} = {{{CubeRt(27x^3)}}} = 3x 
:

2) ( 2 squared root of 3 MINUS 3)(2 square root of 3 + 3)
({{{2*sqrt(3) - 3}}})({{{ 2*sqrt(3) + 3}}})
FOIL this
4(3) + 6{{{sqrt(3)}}} - 6*{{{sqrt(3)}}} - 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?