document.write( "Question 600971: help me solve this question\r
\n" ); document.write( "\n" ); document.write( " $\"++sqrt+%28+%283n-5%29%2F%28n%2B1%29+%29\"$ is an integer \n" ); document.write( "

Algebra.Com's Answer #379579 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "In order for that to equal to an integer,\r\n" );
document.write( "what's under the radical must be a perfect square. \r\n" );
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document.write( "We compare the fraction  to the fraction\r\n" );
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document.write( ", and observe that  has a smaller \r\n" );
document.write( "numerator and a larger denominator than  which is 3. So  is a perfect\r\n" );
document.write( "square less than 3. \r\n" );
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document.write( "The only perfect square less than 3 is 1, so what's under the \r\n" );
document.write( "radical must equal to 1.  So\r\n" );
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document.write( " = 1\r\n" );
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document.write( "Multiply both sides by n+1\r\n" );
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document.write( "3n - 5 = n + 1\r\n" );
document.write( "    2n = 6\r\n" );
document.write( "     n = 3\r\n" );
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document.write( "So n=3 and therefore\r\n" );
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document.write( " =  =  =  = 1\r\n" );
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document.write( "Edwin

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