SOLUTION: I Need Help With This Problem {{{ (X-25)/(sqrt(X)-5) }}} What i've Gotten so far is.. {{{ (-25X sqrt(X)+5X-125)/(X-25) }}}

Algebra ->  Radicals -> SOLUTION: I Need Help With This Problem {{{ (X-25)/(sqrt(X)-5) }}} What i've Gotten so far is.. {{{ (-25X sqrt(X)+5X-125)/(X-25) }}}      Log On


   

Question 298086: I Need Help With This Problem
+%28X-25%29%2F%28sqrt%28X%29-5%29+
What i've Gotten so far is.. +%28-25X+sqrt%28X%29%2B5X-125%29%2F%28X-25%29+
Found 2 solutions by Alan3354, rapaljer:
Answer by Alan3354(69443) About Me  (Show Source):
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
+%28X-25%29%2F%28sqrt%28X%29-5%29+

Multiply numerator and denominator by the conjugate of the denominator, which is %28sqrt%28x%29+%2B+5%29. However, when do NOT multiply out the numerator! If you leave the numerator in factored form, then the x-25 factor divides out, like this:

%28%28x-25%29%2A%28sqrt%28x%29%2B5%29%29%2F%28x-25%29

Now, the %28x-25%29 divides out, and the final answer is
sqrt%28x%29%2B5

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida