document.write( "Question 90663: Simplify $\"sqrt%2872%2Ax%5E3%29\"$ \n" ); document.write( "

Algebra.Com's Answer #65793 by jim_thompson5910(35256) $\"\"$ $\"About$

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$\"sqrt%2872%2Ax%5E3%29\"$ Start with the given expression\r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%2836%2A2%2Ax%5E3%29\"$ Factor $\"72\"$ into $\"36%2A2\"$
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\n" ); document.write( " $\"sqrt%2836%2A2%2Ax%2Ax%5E2%29\"$ Factor $\"x%5E3\"$ into $\"x%2Ax%5E2\"$
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\n" ); document.write( " $\"sqrt%2836%29%2Asqrt%282%29%2Asqrt%28x%29%2Asqrt%28x%5E2%29\"$ Break up the square roots using the identity $\"sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29\"$
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\n" ); document.write( " $\"6%2Asqrt%282%29%2Asqrt%28x%29%2Asqrt%28x%5E2%29\"$ Take the square root of the perfect square $\"36\"$ to get 6
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\n" ); document.write( " $\"6%2Asqrt%282%29%2Asqrt%28x%29%2Ax\"$ Take the square root of the perfect square $\"x%5E2\"$ to get x
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\n" ); document.write( " $\"6%2Asqrt%282%29%2Ax%2Asqrt%28x%29\"$ Multiply the common terms \r
\n" ); document.write( "\n" ); document.write( " $\"6%2Ax%2Asqrt%28x%29%2Asqrt%282%29\"$ Rearrange the terms \r
\n" ); document.write( "\n" ); document.write( " $\"6%2Ax%2Asqrt%282x%29\"$ Group the square root terms \n" ); document.write( "

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