document.write( "Question 701749: Find the smallest number that can be subtracted from 9761 so that the difference is a perfect cube, and find the cube root of the difference. \n" ); document.write( "
Algebra.Com's Answer #432576 by Edwin McCravy(20055)\"\" \"About 
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document.write( "The largest perfect cube less than 9761 will differ from 9761\r\n" );
document.write( "by a smaller amount than any smaller perfect cube will differ \r\n" );
document.write( "from it.\r\n" );
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document.write( "So we take the cube root of 9761.\r\n" );
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document.write( "∛9761 = 21.37132445\r\n" );
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document.write( "The largest integer less than that is 21.\r\n" );
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document.write( "So 21³ or 9261 is the largest perfect cube that's less that 9761.\r\n" );
document.write( "And its difference from 9761 is 500.\r\n" );
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document.write( "So 500 is the smallest number that can be subtracted from 9761 \r\n" );
document.write( "so that the difference, 9261, is a perfect cube --  and the cube\r\n" );
document.write( "root of that difference is 21.\r\n" );
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document.write( " Edwin
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