document.write( "Question 1009869: If I write √2 then within this root I put in another √2 and again and again,does it diverge as we are dealing with the square root of a Prime, so irrational or
\n" ); document.write( "could I solve it simply by writing y = √2 + y and simply solve a quadratic to get y = - 1 or y = 2?? \n" ); document.write( "

Algebra.Com's Answer #625351 by ikleyn(52858) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "Are you talking about \r\n" );
document.write( "\r\n" );
document.write( " ?\r\n" );
document.write( "\r\n" );
document.write( "If \"Yes\", then introduce x = .\r\n" );
document.write( "\r\n" );
document.write( "Square both sides, and you will get an equation\r\n" );
document.write( "\r\n" );
document.write( " = ,   or\r\n" );
document.write( "\r\n" );
document.write( " = .\r\n" );
document.write( "\r\n" );
document.write( "Factorize left side\r\n" );
document.write( "\r\n" );
document.write( "(x+1)*(x-2) = 0.\r\n" );
document.write( "\r\n" );
document.write( "The appropriate root is x = 2.\r\n" );
document.write( "\r\n" );
document.write( "So,   = 2.\r\n" );
document.write( "\r\n" );
document.write( "Answer.   = 2.\r\n" );
document.write( "

\n" ); document.write( " \n" ); document.write( "

\n" );