Normally yes you can factorise. For example:
In your example you can still factor out 18
Consider the function
If you factor out an , then theres still a in front of the first square root. Would the conjugate just be the square roots or would it include the ?
Thanks for the help!
Edit: Oops, I didn't mean to factor out the but if there were still another term in front of the square root, would the same process apply?
Thanks! So it will only work assuming only one of the square roots has a term in front of it? If it were in the form of , is there any conjugate for that? If not, are there any other ways to simplify it?
Edit: Wait, how is it possible to factor out an from my original example?
Edit #2: Oh, you meant . In that case, is there any way to simplify that radical? Because there are two different terms in front of them.
There is a conjugate for every surd expression. It's just that this one will be a binomial: . A conjugate can be obtained by changing the sign in the middle.
Yes, if you look carefully you can also take out a by using surd lawsEdit #2: Oh, you meant . In that case, is there any way to simplify that radical? Because there are two different terms in front of them.