document.write( "Question 704154: I have to simplify \"4%2F%283sqrt%285%29%2Bsqrt%283%29%29\" \r
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Algebra.Com's Answer #433986 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"4%2F%283sqrt%285%29%2Bsqrt%283%29%29\"\r\n" );
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document.write( "The procedure is: \r\n" );
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document.write( "1. Put parentheses around the denominator:\r\n" );
document.write( "2. Create the conjugate of the denominator and put it in parentheses\r\n" );
document.write( "3. Put that conjugate over itself (which has value 1)\r\n" );
document.write( "4. Multiply by that.  (multiplying it won't affect the value since it equals 1)\r\n" );
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document.write( "1. Put denominator in parentheses: \"4%2F%28%283sqrt%285%29%2Bsqrt%283%29%29%29\"\r\n" );
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document.write( "2. To create the conjugate of \"3sqrt%285%29%2Bsqrt%283%29\", just change the\r\n" );
document.write( "   sign of the second term, making the conjugate \"3sqrt%285%29-sqrt%283%29\".\r\n" );
document.write( "   Put it in parentheses \"%283sqrt%285%29-sqrt%283%29%29\".\r\n" );
document.write( "3. Put that conjugate over itself, like this \"%28%283sqrt%285%29-sqrt%283%29%29%29%2F%28%283sqrt%285%29-sqrt%283%29%29%29\"\r\n" );
document.write( "4. Multiply by that:\r\n" );
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document.write( "\"4%2F%28%283sqrt%285%29%2Bsqrt%283%29%29%29\"\"%22%22%2A%22%22\"\"%28%283sqrt%285%29-sqrt%283%29%29%29%2F%28%283sqrt%285%29-sqrt%283%29%29%29\"\r\n" );
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document.write( "FOIL out the bottom:\r\n" );
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document.write( "The two middle terms cancel out on the bottom:\r\n" );
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document.write( "\"%284%282sqrt%285%29-sqrt%283%29%29%29%0D%0A%0D%0A%0D%0A%2F%289sqrt%2825%29-sqrt%289%29%29\"\r\n" );
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document.write( "On the bottom, \"sqrt%2825%29\" is just 5 and \"sqrt%289%29\" is just 3\r\n" );
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document.write( "\"%284%283sqrt%285%29-sqrt%283%29%29%29%0D%0A%0D%0A%0D%0A%2F%289%2A5-3%29\"\r\n" );
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document.write( "\"%284%283sqrt%285%29-sqrt%283%29%29%29%0D%0A%0D%0A%0D%0A%2F%2845-3%29\"\r\n" );
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document.write( "\"%284%283sqrt%285%29-sqrt%283%29%29%29%0D%0A%0D%0A%0D%0A%2F42\"\r\n" );
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document.write( "Divide top and bottom by 2\r\n" );
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document.write( "\"%282%283sqrt%285%29-sqrt%283%29%29%29%0D%0A%0D%0A%0D%0A%2F21\"\r\n" );
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document.write( "Edwin
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