document.write( "Question 636813: Find three different irrational numbers between the rational number 5/7 and 9/11. \n" ); document.write( "

Algebra.Com's Answer #401237 by Edwin McCravy(20054) $\"\"$ $\"About$

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document.write( "Square roots of non-squares are irrational.\r\n" );
document.write( "Square roots of numbers between those two numbers will be between them,\r\n" );
document.write( "So let's find some non-squares between their squares, and get their square\r\n" );
document.write( "roots:\r\n" );
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document.write( "Their squares are:\r\n" );
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document.write( " = 0.5102040816\r\n" );
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document.write( " = 0.6694214876\r\n" );
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document.write( "Some non-squares between those are \r\n" );
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document.write( "2/3 = 0.66666667\r\n" );
document.write( "3/5 = 0.6\r\n" );
document.write( "4/7 = 0.571428\r\n" );
document.write( "5/8 = 0.625\r\n" );
document.write( "5/9 = 0.55555\r\n" );
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document.write( "Their square roots will be irrational and between  and \r\n" );
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document.write( " = · = \r\n" );
document.write( " = · =  = \r\n" );
document.write( " = · =  \r\n" );
document.write( " =  =  \r\n" );
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document.write( "Edwin

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