document.write( "Question 807023: Prove that 2 + sqrt 27 is not rational. really stuck please help me. \n" ); document.write( "
Algebra.Com's Answer #486148 by sheldonbbtrocks(115)\"\" \"About 
You can put this solution on YOUR website!
Well:\r
\n" ); document.write( "\n" ); document.write( "We can actually tell right off the bat this is irrational, because of the\"sqrt%2827%29\" component.\r
\n" ); document.write( "\n" ); document.write( "The \"sqrt%2827%29\" does not have a rational number as a perfect square. The \"sqrt%2827%29\" is 5.1961524227066318805823390245176171008284157614311418. \r
\n" ); document.write( "\n" ); document.write( "Now if we add the two to this number we get:\r
\n" ); document.write( "\n" ); document.write( "7.1961524227066318805823390245176171008284157614311418\r
\n" ); document.write( "\n" ); document.write( "Now we need to determine this is an irrational number.\r
\n" ); document.write( "\n" ); document.write( "Rational numbers of counting numbers, natural numbers, integers, whole numbers, fractions, and repeating decimals ie.(2.2323...)\r
\n" ); document.write( "\n" ); document.write( "Since this number does not match any of these definitions, we can determine that \"2%2Bsqrt%2827%29\" is not rational.\r
\n" ); document.write( "\n" ); document.write( "Hope this Helps!
\n" ); document.write( "
\n" );