document.write( "Question 396715: I am having trouble with a problem I cannot seem to figure out the next step on it. The problem goes as follows:\r
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\n" ); document.write( "\n" ); document.write( "The nth root is 7 radical 8x^29/243x^8\r
\n" ); document.write( "\n" ); document.write( "I split the radical up betweent the top and bottom and then multiplied both sides by the bottom. I know those steps are correct, however, I do not know how to solve it from there.\r
\n" ); document.write( "\n" ); document.write( "nth root 7 radical 8x^29/nth root 7 radical 243x^8 times the top and bottom by the nth root 7 radical 243x^8.\r
\n" ); document.write( "\n" ); document.write( "Where do I go from here?\r
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Algebra.Com's Answer #281367 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\"root%287%2C%288x%5E29%29%2F%28243x%5E8%29%29\"
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document.write( "Don't split the radical up until you subtract the exponents of the x's\r\n" );
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document.write( "\"root%287%2C%288x%5E21%29%2F243%29\"\r\n" );
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document.write( "Now split it up:\r\n" );
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document.write( "\"root%287%2C8x%5E21%29%2Froot%287%2C243%29\"\r\n" );
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document.write( "Since the power of x is a multiple of 7 we can take\r\n" );
document.write( "it out of the radical on top, divide the exponent 21\r\n" );
document.write( "by the index of the radical 7 and get x3 which\r\n" );
document.write( "we write in front of the top radical:\r\n" );
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document.write( "\"x%5E3%2Aroot%287%2C8%29%2Froot%287%2C243%29\"\r\n" );
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document.write( "Since 243 = 35, we replace 243 by that:\r\n" );
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document.write( "\"x%5E3%2Aroot%287%2C8%29%2Froot%287%2C3%5E5%29\"\r\n" );
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document.write( "We have 35 on the bottom, and\r\n" );
document.write( "we need 37 so that it will come out of the\r\n" );
document.write( "radical, so we multiply by \"red%28++root%287%2C3%5E2%29%2Froot%287%2C3%5E2%29++%29\"\r\n" );
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document.write( "\"x%5E3%2Aroot%287%2C8%29%2Froot%287%2C3%5E5%29\"\"%22%22%2A%22%22\"\"red%28++root%287%2C3%5E2%29%2Froot%287%2C3%5E2%29++%29\"\r\n" );
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document.write( "Multiply under the radicals:\r\n" );
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document.write( "\"x%5E3%2Aroot%287%2C8%2Ared%283%5E2%29%29%2Froot%287%2C3%5E5%2Ared%283%5E2%29%29\"\r\n" );
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document.write( "\"x%5E3%2Aroot%287%2C8%2A9%29%2Froot%287%2C3%5E7%29\"\r\n" );
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document.write( "Rewrite 8*9 as 72 and the denominator as just 3\r\n" );
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document.write( "\"x%5E3%2Aroot%287%2C72%29%2F3\"\r\n" );
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document.write( "Edwin
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