document.write( "Question 108793: square root27m^3 times square root125m^3 \n" ); document.write( "

Algebra.Com's Answer #79297 by MathLover1(20855) $\"\"$ $\"About$

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$\"sqrt%2827m%5E3%29sqrt%28125m%5E3%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"Rule-No.1\"$ \r
\n" ); document.write( "\n" ); document.write( "If you have two positive numbers $\"x\"$ and $\"y\"$ , then \r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%28x%2Ay%29+=+sqrt%28x%29%2Asqrt%28y%29\"$ \r
\n" ); document.write( "\n" ); document.write( "and\r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%28x%2Fy%29+=+sqrt%28x%29%2Fsqrt%28y%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "so, we will apply this part:\r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%28x%2Ay%29+=+sqrt%28x%29%2Asqrt%28y%29\"$ \r
\n" ); document.write( "\n" ); document.write( "then we have:\r
\n" ); document.write( "\n" ); document.write( "= $\"sqrt%2827%29%2Asqrt%28m%5E3%29%2Asqrt%28125%29%2Asqrt%28m%5E3%29\"$ ..........since $\"sqrt%28m%5E3%29sqrt%28m%5E3%29+=+m%5E3\"$ \r
\n" ); document.write( "\n" ); document.write( "we have\r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%2827%29%2Asqrt%28125%29%2Am%5E3\"$ ......... $\"sqrt%2827%29+=+5.2\"$ which we can round to $\"5\"$ , and $\"sqrt%28125%29+=+11.2\"$ which we can round to $\"11\"$ \r
\n" ); document.write( "\n" ); document.write( "then we have:\r
\n" ); document.write( "\n" ); document.write( " $\"5%2A118m%5E3\"$ \r
\n" ); document.write( "\n" ); document.write( "or\r
\n" ); document.write( "\n" ); document.write( " $\"55m%5E3\"$
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