document.write( "Question 552025: express 5 square root 3x^3 minus 2 square root 27x^3 in simplest radical form \n" ); document.write( "

Algebra.Com's Answer #360194 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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express 5 square root 3x^3 minus 2 square root 27x^3 in simplest radical form
\n" ); document.write( ":
\n" ); document.write( " $\"5sqrt%283x%5E3%29+-+2sqrt%2827x%5E3%29\"$
\n" ); document.write( "factor to reveal some perfect squares inside the radicals
\n" ); document.write( " $\"5sqrt%283%2Ax%5E2%2Ax%29+-+2sqrt%289%2A3%2Ax%5E2%2Ax%29\"$
\n" ); document.write( "extract the square root of those perfect squares
\n" ); document.write( " $\"5%2Ax%2Asqrt%283x%29-+2%2A3%2Ax%2Asqrt%283x%29\"$
\n" ); document.write( "which is, and are like terms, so just do the math
\n" ); document.write( " $\"5x%2Asqrt%283x%29-+6x%2Asqrt%283x%29\"$ = $\"-x%2Asqrt%283x%29\"$
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