SOLUTION: (2x-1)/sqrt(2x)-1) (the square root is only over the 2x, not the 1

Algebra ->  Radicals -> SOLUTION: (2x-1)/sqrt(2x)-1) (the square root is only over the 2x, not the 1      Log On


   

Question 919646: (2x-1)/sqrt(2x)-1) (the square root is only over the 2x, not the 1
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
your equation is:

%282x-1%29+%2F+%28sqrt%282x%29-1%29

multiply the expression by %28sqrt%282x%29%2B1%29+%2F+%28sqrt%282x%29+%2B+1%29 to get:

%282x-1%29+%2F+%28sqrt%282x%29-1%29 * %28sqrt%282x%29%2B1%29+%2F+%28sqrt%282x%29+%2B+1%29 =

this simplifies to %28%282x-1%29%2A%28sqrt%282x%29%2B1%29%29+%2F+%282x-1%29

the (2x-1) in the numerator and the denominator cancel out and you are left with:

sqrt%282x%29%2B1%29