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

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

Question 39075: Perform the indicated division. Rationalize the denominator if necessary then simplify each radical expression.

Answer by sdmmadam@yahoo.com(530) (Show Source): You can put this solution on YOUR website!
Perform the indicated division. Rationalize the denominator if necessary then simplify each radical expression.

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
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