document.write( "Question 164461: \"17sqrt%2820%29\"
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Algebra.Com's Answer #121190 by Edwin McCravy(20086)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"17+sqrt%2820%29\"\r\n" );
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document.write( "Break \"20\" down into a product of prime numbers:\r\n" );
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document.write( "\"20=2%2A2%2A5\"\r\n" );
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document.write( "\"17sqrt%282%2A2%2A5%29\"\r\n" );
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document.write( "Group the pair of like factors:\r\n" );
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document.write( " \"17sqrt%28%282%2A2%29%2A5%29\"\r\n" );
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document.write( "The pair of like factors \"2%2A2\" can be written as \r\n" );
document.write( "a square \"2%5E2\"\r\n" );
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document.write( " \"17sqrt%28%282%5E2%29%2A5%29\"\r\n" );
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document.write( "Take individual square roots:\r\n" );
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document.write( "\"17sqrt%282%5E2%29sqrt%285%29\"\r\n" );
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document.write( "The square root of the square of 2 gives only 2:\r\n" );
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document.write( "\"17%2A2sqrt%285%29\"\r\n" );
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document.write( "\"34sqrt%285%29\"\r\n" );
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document.write( "\"-7+sqrt%28242%29\"\r\n" );
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document.write( "Break \"242\" down into a product of prime numbers:\r\n" );
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document.write( "\"20=2%2A11%2A11\"\r\n" );
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document.write( "\"-7sqrt%282%2A11%2A11%29\"\r\n" );
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document.write( "Group the pair of like factors:\r\n" );
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document.write( " \"-7sqrt%282%2A%2811%2A11%29%29\"\r\n" );
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document.write( "The pair of like factors \"11%2A11\" can be written as \r\n" );
document.write( "a square \"11%5E2\"\r\n" );
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document.write( " \"-7sqrt%282%2A11%5E2%29\"\r\n" );
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document.write( "Take individual square roots:\r\n" );
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document.write( "\"-7sqrt%282%29%2Asqrt%2811%5E2%29\"\r\n" );
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document.write( "The square root of the square of 11 gives only 11:\r\n" );
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document.write( "\"-7sqrt%282%29%2A11\"\r\n" );
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document.write( "\"-77sqrt%282%29\"\r\n" );
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document.write( "3 SQRT 75\r\n" );
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document.write( "\"3+sqrt%2875%29\"\r\n" );
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document.write( "Break \"75\" down into a product of prime numbers:\r\n" );
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document.write( "\"75=3%2A5%2A5\"\r\n" );
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document.write( "\"3sqrt%283%2A5%2A5%29\"\r\n" );
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document.write( "Group the pair of like factors:\r\n" );
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document.write( " \"3sqrt%283%2A%285%2A5%29%29\"\r\n" );
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document.write( "The pair of like factors \"5%2A5\" can be written as \r\n" );
document.write( "a square \"5%5E2\"\r\n" );
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document.write( " \"3sqrt%283%2A%285%5E2%29%29\"\r\n" );
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document.write( "Take individual square roots:\r\n" );
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document.write( "\"3sqrt%283%29sqrt%285%5E2%29\"\r\n" );
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document.write( "The square root of the square of 5 gives only 5:\r\n" );
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document.write( "\"3sqrt%283%29%2A5\"\r\n" );
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document.write( "\"15sqrt%283%29\"\r\n" );
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document.write( "Edwin
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