document.write( "Question 31390This question is from textbook College Algebra
\n" ); document.write( ": Hi again,
\n" ); document.write( "I have an equation with a radical inside a radical inside a radical equal to another radical (I'm writing it in exponential form):
\n" ); document.write( "(1+(x+(2x+1)^1/2)^1/2)^1/2 = (5+(x)^1/2)^1/2
\n" ); document.write( "I tried to square both sides but got lost on the right side after squaring boths sides for the second time coming out with x-3=-x^1/2 after squaring the third time to remove the -x^1/2 remaining on the left side. \r
\n" ); document.write( "\n" ); document.write( "Does this equation actually have solutions?\r
\n" ); document.write( "\n" ); document.write( "Thank you for all your wonderful help!
\n" ); document.write( "

Algebra.Com's Answer #18142 by venugopalramana(3286)\"\" \"About 
You can put this solution on YOUR website!
Hi again,
\n" ); document.write( "I have an equation with a radical inside a radical inside a radical equal to another radical (I'm writing it in exponential form):
\n" ); document.write( "(1+(x+(2x+1)^1/2)^1/2)^1/2 = (5+(x)^1/2)^1/2
\n" ); document.write( "IF THIS EQN. MEANS THIS WAY THEN IT HAS A SOLUTION........
\n" ); document.write( " (2X+1)^1/2 MEANS ((2X+1)^1)/2=(2X+1)/2...LIKE WISE ALL OTHER TERMS TOO....
\n" ); document.write( "THEN THE ANSWER IS X=7.5
\n" ); document.write( "IF IT MEANS AS YOU IMPLIED
\n" ); document.write( "(2X+1)^0.5...THEN THE ANSWER IS X TENDS TO INFINITY.
\n" ); document.write( "I tried to square both sides but got lost on the right side after squaring boths sides for the second time coming out with x-3=-x^1/2 after squaring the third time to remove the -x^1/2 remaining on the left side.
\n" ); document.write( "Does this equation actually have solutions?
\n" ); document.write( "Thank you for all your wonderful help!
\n" ); document.write( "
\n" ); document.write( "
\n" );