document.write( "Question 196555This question is from textbook
\n" ); document.write( ": Classify the given numbers as real and rational, real and irrational, or complex. Remember to simplify BEFORE you classify! \r
\n" ); document.write( "\n" ); document.write( "a. \"%283%29%5E%281%2F2%29+%2B+2i\"
\n" ); document.write( "b. \"3.14\"
\n" ); document.write( "c. \"pi\"
\n" ); document.write( "d. \"16%5E%281%2F4%29+%2B+6\"
\n" ); document.write( "e. \"%2818%29%5E%281%2F3%29\"\r
\n" ); document.write( "\n" ); document.write( "Please help me. I don't understand this at all.
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Algebra.Com's Answer #147301 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "A rational number is a number equal to a common fraction,\r\n" );
document.write( "whether proper of improper.\r\n" );
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document.write( "a. \"%283%29%5E%281%2F2%29+%2B+2i\" \r\n" );
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document.write( "\"sqrt%283%29+%2B+2i\"\r\n" );
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document.write( "This is complex because after simplifying it \r\n" );
document.write( "contains an \"i\".\r\n" );
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document.write( "b. \"3.14\"\r\n" );
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document.write( "This can be written as \"3.14%2F1\", and\r\n" );
document.write( "we can multiply top and bottom by 100 and\r\n" );
document.write( "get rid of the edcimal. So we have\r\n" );
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document.write( "\"314%2F100\"\r\n" );
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document.write( "which reduces to \"157%2F50\" which is a \r\n" );
document.write( "common fraction, so it is rational.\r\n" );
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document.write( "c. \"pi\"\r\n" );
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document.write( "This is not equal to any common fraction, but\r\n" );
document.write( "doesn't contain any \"i\" so it's irrational.\r\n" );
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document.write( "You should note here that \"pi\" is NOT equal\r\n" );
document.write( "to \"3.14\".  The RATIONAL NUMBER \"3.14\"\r\n" );
document.write( "is only an approximation for \"pi\".\r\n" );
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document.write( "d. \"16%5E%281%2F4%29+%2B+6\" \r\n" );
document.write( "   \"root%284%2C16%29%2B6\"\r\n" );
document.write( "   \"root%284%2C2%5E4%29%2B6\"\r\n" );
document.write( "   \"2%2B6\"\r\n" );
document.write( "   \"8\"\r\n" );
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document.write( "Since \"8\" can be written as the common fraction\r\n" );
document.write( "\"8%2F1\" it is rational.  \r\n" );
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document.write( "e. \"%2818%29%5E%281%2F3%29\"\r\n" );
document.write( "   \"root%283%2C18%29\"\r\n" );
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document.write( "This cannot be simplified further, and it is not equal\r\n" );
document.write( "to any common fraction, but doesn't contain any \"i\",\r\n" );
document.write( "so it's irrational.  \r\n" );
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document.write( "Edwin
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