document.write( "Question 798432: Please how will I prove whether x is a real number or not in x^2 <2. \n" ); document.write( "
Algebra.Com's Answer #482186 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"+x%5E2+%3C2\"..solve for \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"+x+%3C+sqrt%282%29\" => \"++sqrt%282%29\" is an \"irrational\" number\r
\n" ); document.write( "\n" ); document.write( "since the real numbers include all the \"rational\" numbers and all the \"irrational\" numbers, means \"x\" is \"real\" number
\n" ); document.write( "
\n" ); document.write( "
\n" );