SOLUTION: Rationalize the denominator: {{{(4-sqrt(3))/(6+sqrt(y))}}}

Algebra ->  Rational-functions -> SOLUTION: Rationalize the denominator: {{{(4-sqrt(3))/(6+sqrt(y))}}}       Log On


   



Question 211185: Rationalize the denominator:
%284-sqrt%283%29%29%2F%286%2Bsqrt%28y%29%29

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Rationalize the denominator:
%284-sqrt%283%29%29%2F%286%2Bsqrt%28y%29%29

That is, change the form of the fraction so that 
there are no irrational square roots radicals on
the bottom, but are all on top.

Form the conjugate of the denominator, which is
just like it except the sign of the second term
is changed.  So the conjugate of 6-sqrt%28y%29
is 6%2Bsqrt%28y%29.  Multiplying the top and bottom
by that will not change the value of the fraction:



Edwin