Solving Fractions with Roots: an Example

[james_rich]

Hey having a bit of trouble with this question, not sure what to do!

QUESTION - express the fraction in the form a + b rootc / d


3 + root24 / 2 + root6

------------------------------------------
(3 + root24 / 2 + root 6) x (2 - root 6 / 2 - root 6)

Simplifying gives

(6 - 3root6 + 2root24 - root144) / -2

(6 - 3root6 + 2 x 2root6 - root144) /-2

is this right so far? the problem i am having is simplifying the root144 to a root6 inequality!

 

[Tide]

HINT: \sqrt {144} = 12

 

[james_rich]

D'oh! that is so easy!

I think i tried to over complicate it! My Brain hurts! I've stared at this piece of paper for the last 10mins!

Thanx a lot, i can carry on now!

Forgive the stupidity!