document.write( "Question 1209005: What is the smallest positive integer n such that \sqrt[4]{675 + n} is an integer?
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Algebra.Com's Answer #847565 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "What is the smallest positive integer n such that \sqrt[4]{675 + n} is an integer?
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\n" ); document.write( "\n" ); document.write( "As I understand the post, the question is about the root of degree 4.\r
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document.write( "Find minimal positive integer N, which is perfect 4-th degree, greater than 675.\r\n" );
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document.write( "We know that  = 625,  so we try next integer after 5, which is 6.\r\n" );
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document.write( " = 1296.     <<<------->>>  Such number N is 1296.\r\n" );
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document.write( "So,  n = 1296 - 675 = 621.    ANSWER\r\n" );
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document.write( "CHECK.   =  = 6.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved, with explanations.\r
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