document.write( "Question 993514: S = { x | 8 < x < 85 and the square root of x is an integer} How many elements are in the set? \n" ); document.write( "

Algebra.Com's Answer #612799 by ikleyn(52776) $\"\"$ $\"About$

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\n" ); document.write( "You may re-formulate this question equivalently:\r
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\n" ); document.write( "\n" ); document.write( ">>> . . . How many integers are in the interval ( $\"sqrt%288%29\"$ , $\"sqrt%2885%29\"$ )? . . . <<<\r
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\n" ); document.write( "\n" ); document.write( "or even in more understandable way:\r
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\n" ); document.write( "\n" ); document.write( ">>> . . . How many integers are in the interval (2.9, 9.1)? . . . <<<\r
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\n" ); document.write( "\n" ); document.write( "Now it is easy to list them: 3, 4, 5, 6, 7, 8, 9.\r
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\n" ); document.write( "\n" ); document.write( "In total, there are 7 such integer numbers.\r
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\n" ); document.write( "\n" ); document.write( "Correspondingly, S = { 9, 16, 25, 36, 49, 64, 81 }.\r
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