SOLUTION: Perform the indicated division. Rationalize the denominator if necessary then simplify each radical expression. {{{ (-9 - sqrt108)/3 }}}

Algebra ->  Radicals -> SOLUTION: Perform the indicated division. Rationalize the denominator if necessary then simplify each radical expression. {{{ (-9 - sqrt108)/3 }}}      Log On


   

Question 39075: Perform the indicated division. Rationalize the denominator if necessary then simplify each radical expression.
+%28-9+-+sqrt108%29%2F3+
Answer by sdmmadam@yahoo.com(530) About Me  (Show Source):
You can put this solution on YOUR website!
Perform the indicated division. Rationalize the denominator if necessary then simplify each radical expression.
+%28-9+-+sqrt108%29%2F3+
108 = 2X2X3X3X3 = 2^2 X3^2 X3 = (2X3)^2X3
We know that sqrt{[(2X3)^2]X3} = sqrt[(2X3)^2]Xsqrt3= 6sqrt3
Therefore (-9-sqrt108)/3 = -9/3 - (6sqrt3)/3 = -3 - 2sqrt3
Answer: -3 - 2sqrt3