document.write( "Question 1031983: How can I find any irrational numbers between two rational numbers \n" ); document.write( "

Algebra.Com's Answer #646677 by ikleyn(52852) $\"\"$ $\"About$

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document.write( "Let \"a\" and \"b\" be two rational numbers, with b > a.\r\n" );
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document.write( "Let c = b - a is their difference.\r\n" );
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document.write( "Consider the irrational number  and take small part of it, , with an integer \"n\", so small, that  is less than (b-a).\r\n" );
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document.write( "Now consider the number .\r\n" );
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document.write( "It is \r\n" );
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document.write( "1. between \"a\" and \"b\", and \r\n" );
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document.write( "2. it is irrational.\r\n" );
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document.write( "It gives the answer to your question.\r\n" );
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document.write( "Thank you for asking.\r\n" );
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