SOLUTION: I am having trouble with this problem. Could someone please help. sqrt18+sqrt24 divided by sqrt6 Show your steps.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: I am having trouble with this problem. Could someone please help. sqrt18+sqrt24 divided by sqrt6 Show your steps.      Log On


   

Question 506692: I am having trouble with this problem. Could someone please help.
sqrt18+sqrt24 divided by sqrt6 Show your steps.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the problem is:
%28sqrt%288%29%2Bsqrt%2824%29%29%2Fsqrt%286%29
multiply to get the radical out of the denominator
%28sqrt%288%29%2Bsqrt%2824%29%29%2Fsqrt%286%29 * sqrt%286%29%2Fsqrt%286%29
resulting in
%28sqrt%288%2A6%29%2Bsqrt%2824%2A6%29%29%2F6
%28sqrt%2848%29%2Bsqrt%28144%29%29%2F6
Factor inside the radicals to reveal a perfect squares
%28sqrt%2816%2A3%29%2Bsqrt%28144%29%29%2F6
extract the square roots
%284%2Asqrt%283%29%2B12%29%2F6
we can write this over two identical denominators
%284%2Asqrt%283%29%29%2F6 + 12%2F6
reduce the fractions
%282%2Asqrt%283%29%29%2F3 + 2