document.write( "Question 165407: \"sqrt%285%5E99x%5E87y%5E64%29\" \n" ); document.write( "
Algebra.Com's Answer #121909 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
\"sqrt%285%5E99x%5E87y%5E64%29\"
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document.write( "The index of a square root is 2, so we write:\r\n" );
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document.write( "\"root%282%2C5%5E99x%5E87y%5E64%29\"\r\n" );
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document.write( "Divide the index into each exponent.\r\n" );
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document.write( "Divide index 2 into the first exponent 99\r\n" );
document.write( "  \r\n" );
document.write( "  49\r\n" );
document.write( "2)99\r\n" );
document.write( "  98\r\n" );
document.write( "   1 \r\n" );
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document.write( "49 is the quotient, so we will have \"5%5E49\" on\r\n" );
document.write( "the outside in front of the radical.\r\n" );
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document.write( "1 is the remainder, so we will have \"5%5E1\" left\r\n" );
document.write( "under the radical.  So far we have this:\r\n" );
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document.write( "\"5%5E49\"\"root%282%2C5%5E1x%5E87y%5E64%29\"\r\n" );
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document.write( " ---\r\n" );
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document.write( "Divide index 2 into the second exponent 87\r\n" );
document.write( "  \r\n" );
document.write( "  43\r\n" );
document.write( "2)87\r\n" );
document.write( "  86\r\n" );
document.write( "   1 \r\n" );
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document.write( "43 is the quotient, so we will have \"x%5E43\" on\r\n" );
document.write( "the outside in front of the radical.\r\n" );
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document.write( "1 is the remainder, so we will have \"x%5E1\" left\r\n" );
document.write( "under the radical.  So far we have this:\r\n" );
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document.write( "\"5%5E49%2Ax%5E43\"\"root%282%2C5%5E1x%5E1y%5E64%29\"\r\n" );
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document.write( " ---\r\n" );
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document.write( "Divide index 2 into the third exponent 64\r\n" );
document.write( "  \r\n" );
document.write( "  32\r\n" );
document.write( "2)64\r\n" );
document.write( "  64\r\n" );
document.write( "   0 \r\n" );
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document.write( "32 is the quotient, so we will have \"y%5E32\" on\r\n" );
document.write( "the outside in front of the radical.\r\n" );
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document.write( "0 is the remainder, so we will have no y's left\r\n" );
document.write( "under the radical.  So we have:\r\n" );
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document.write( "\"5%5E49%2Ax%5E43%2Ay%5E32\"\"root%282%2C5%5E1x%5E1%29\"\r\n" );
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document.write( "But of course when the root is a square root,\r\n" );
document.write( "we do not write the index, so we will drop the\r\n" );
document.write( "index 2, and the 1 exponents as well:\r\n" );
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document.write( "\"5%5E49%2Ax%5E43%2Ay%5E32%2Asqrt%285x%29\"\r\n" );
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document.write( "Edwin
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