SOLUTION: Dear tutor, I have this problem, could you help me I have the rationalize the numerator sqrt((x-4))-2/(x) the square root is over the x-4, the number -2 is outside the

Algebra ->  Radicals -> SOLUTION: Dear tutor, I have this problem, could you help me I have the rationalize the numerator sqrt((x-4))-2/(x) the square root is over the x-4, the number -2 is outside the       Log On


   



Question 65039: Dear tutor,

I have this problem, could you help me
I have the rationalize the numerator
sqrt((x-4))-2/(x)
the square root is over the x-4, the number -2 is outside the square root
Hope that helps

SIncerely,
Kazi Nafis

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Hi Kazi,
Rationalize the numerator
%28sqrt%28x-4%29-2%29%2Fx
Multiply the numerator (top) and the denominator (bottom) by the conjugate of the numerator: sqrt%28x-4%29%2B2
%28sqrt%28x-4%29-2%29%28sqrt%28x-4%29%2B2%29%2F%28x%28sqrt%28x-4%29%2B2%29%29

%28%28x-4%29-4%29%2F%28x%2Asqrt%28x-4%29%2B2x%29
%28x-8%29%2F%28x%2Asqrt%28x-4%29%2B2x%29
Happy Calculating!!!