Well, it is quite easy to rationalize if there are only 1 or 2 sqrt denominators.
For example: c/(sqrt a + sqrt b) --> (c(sqrt a - sqrt b))/(a^2 -b)
But what if there were 3?
for example:
1/(sqrt 2 + sqrt 3 + sqrt 5) =?
Well, it is quite easy to rationalize if there are only 1 or 2 sqrt denominators.
For example: c/(sqrt a + sqrt b) --> (c(sqrt a - sqrt b))/(a^2 -b)
But what if there were 3?
for example:
1/(sqrt 2 + sqrt 3 + sqrt 5) =?
I've never actually had to do one of these but here's how I'd go about it.
Say you have .
Multiply top and bottom by something like . This gives you:
Expanding this gives you
.
Now this looks complicated but is now an integer, let's call this , you now have:
.
I'm sure you can now rationalise this fraction?
Hope this helps