document.write( "Question 169922: 3^3√64x+3^3√27x
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Algebra.Com's Answer #125380 by jim_thompson5910(35256)\"\" \"About 
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\"3%2Aroot%283%2C64x%29%2B3%2Aroot%283%2C27x%29\" Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( "\"3%2Aroot%283%2C4%5E3x%29%2B3%2Aroot%283%2C3%5E3x%29\" Rewrite \"64\" as \"4%5E3\". Rewrite \"27\" as \"3%5E3\"\r
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\n" ); document.write( "\n" ); document.write( "\"3%2Aroot%283%2C4%5E3%29%2Aroot%283%2Cx%29%2B3%2Aroot%283%2C3%5E3%29%2Aroot%283%2Cx%29\" Break up the roots. Note: \"root%283%2C4%5E3x%29=root%283%2C4%5E3%29%2Aroot%283%2Cx%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"3%2A4%2Aroot%283%2Cx%29%2B3%2A3%2Aroot%283%2Cx%29\" Take the cube root of \"4%5E3\" to get 4. Take the cube root of \"3%5E3\" to get 3\r
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\n" ); document.write( "\n" ); document.write( "\"12%2Aroot%283%2Cx%29%2B9%2Aroot%283%2Cx%29\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "Let \"z=root%283%2Cx%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"12z%2B9z\" Replace \"root%283%2Cx%29\" with \"z\"\r
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\n" ); document.write( "\n" ); document.write( "\"21z\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"21%2Aroot%283%2Cx%29\" Plug in \"z=root%283%2Cx%29\"\r
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\n" ); document.write( "\n" ); document.write( "So \"3%2Aroot%283%2C64x%29%2B3%2Aroot%283%2C27x%29=21%2Aroot%283%2Cx%29\"
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