document.write( "Question 282541: If p > 0, which of the following is equal to √48p^3
\n" ); document.write( "A. 4p√3p
\n" ); document.write( "B. 3p√4p
\n" ); document.write( "C. 2√12p
\n" ); document.write( "D. 3√8p
\n" ); document.write( "E. 16p√3p\r
\n" ); document.write( "\n" ); document.write( "Please Help me what to do step by step.
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Algebra.Com's Answer #205133 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"sqrt%2848%2Ap%5E3%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%2816%2A3%2Ap%5E3%29\" Factor \"48\" into \"16%2A3\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%2816%2A3%2Ap%5E2%2Ap%29\" Factor \"p%5E3\" into \"p%5E2%2Ap\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%2816%29%2Asqrt%283%29%2Asqrt%28p%5E2%29%2Asqrt%28p%29\" Break up the square root using the identity \"sqrt%28A%2AB%29=sqrt%28A%29%2Asqrt%28B%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"4%2Asqrt%283%29%2Asqrt%28p%5E2%29%2Asqrt%28p%29\" Take the square root of \"16\" to get \"4\".\r
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\n" ); document.write( "\n" ); document.write( "\"4%2Asqrt%283%29%2Ap%2Asqrt%28p%29\" Take the square root of \"p%5E2\" to get \"p\".\r
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\n" ); document.write( "\n" ); document.write( "\"4p%2Asqrt%283p%29\" Rearrange and multiply the terms.\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So \"sqrt%2848%2Ap%5E3%29\" simplifies to \"4p%2Asqrt%283p%29\"\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"sqrt%2848%2Ap%5E3%29=4p%2Asqrt%283p%29\" where \"p%3E=0\"
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