document.write( "Question 747110: I do not know how to simplify this radical expression:\r
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Algebra.Com's Answer #454708 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Write 192 = 26·3\r\n" );
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document.write( "Write each exponent in terms of the largest\r\n" );
document.write( "multiple of the index of the radical which\r\n" );
document.write( "does not exceed it.\r\n" );
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document.write( "Looking at the 26, the largest multiple of index\r\n" );
document.write( "5 that does not exceed 6 is 5. So we write 26 as 25+1 = 25·21·\r\n" );
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document.write( "Looking at the t17, the largest multiple of index\r\n" );
document.write( "5 that does not exceed 17 is 15. So we write t17 as t15+2 = t15t2·\r\n" );
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document.write( "\"root%285%2C2%5E%285%2B1%29%2A3%2At%5E%2815%2B2%29u%5E15%29\"\r\n" );
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document.write( "Looking at the u15, this exponent is already a multiple of index\r\n" );
document.write( "5 so we leave it as it.\r\n" );
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document.write( "We use the identity ab+c =abac to\r\n" );
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document.write( "25+1 = 2521 = 25·2,\r\n" );
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document.write( "and \r\n" );
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document.write( "t15+2 = t15+2 = t15t2\r\n" );
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document.write( "To take the factors with exponents which are multiples of 5,\r\n" );
document.write( "out of the radical, divide their exponent by the index 5, \r\n" );
document.write( "and get:\r\n" );
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document.write( "\"2%2At%5E3%2Au%5E3%2Aroot%285%2C2%2A3%2At%5E2%29\"\r\n" );
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document.write( "\"2t%5E3u%5E3%2Aroot%285%2C6t%5E2%29\"\r\n" );
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document.write( "Edwin
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