document.write( "Question 39075: Perform the indicated division. Rationalize the denominator if necessary then simplify each radical expression.\r
\n" ); document.write( "\n" ); document.write( " $\"+%28-9+-+sqrt108%29%2F3+\"$ \n" ); document.write( "

Algebra.Com's Answer #24502 by sdmmadam@yahoo.com(530) $\"\"$ $\"About$

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Perform the indicated division. Rationalize the denominator if necessary then simplify each radical expression.\r
\n" ); document.write( "\n" ); document.write( " $\"+%28-9+-+sqrt108%29%2F3+\"$ \r
\n" ); document.write( "\n" ); document.write( "108 = 2X2X3X3X3 = 2^2 X3^2 X3 = (2X3)^2X3
\n" ); document.write( "We know that sqrt{[(2X3)^2]X3} = sqrt[(2X3)^2]Xsqrt3= 6sqrt3
\n" ); document.write( "Therefore (-9-sqrt108)/3 = -9/3 - (6sqrt3)/3 = -3 - 2sqrt3
\n" ); document.write( "Answer: -3 - 2sqrt3 \n" ); document.write( "

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