SOLUTION: Rationalize the numerator: ((sqrt(f+11))-(sqrt(f)))/11

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Rationalize the numerator: ((sqrt(f+11))-(sqrt(f)))/11      Log On


   

Question 337658: Rationalize the numerator:
((sqrt(f+11))-(sqrt(f)))/11
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Rationalize the numerator:
((sqrt(f+11))-(sqrt(f)))/11
-----------------
Multiply numerator and denominator by (sqrt(f+11)+sqrt(f)) to get:
----
[(f+11)-f]/[11(sqrt(f+11)+sqrt(f))]
-------
= [11]/[11(sqrt(f+11)+sqrt(f))]
---
= 1/[(sqrt(f+11)+sqrt(f))]
========
Cheers,
Stan H.
====