Surds rationalising/rearranging question

I'm stuck with the last step of these sorts of questions, where there is a surd divided by another surd. After rationalising and simplifying, I don't know how to get rid of the division line so that the answer is in the form a+b(root)5. Thanks for helping!

Original post by Sint

I'm stuck with the last step of these sorts of questions, where there is a surd divided by another surd. After rationalising and simplifying, I don't know how to get rid of the division line so that the answer is in the form a+b(root)5. Thanks for helping!

Your method is correct! Just look over your working and check the numerator. It seems you made a slight slip in expanding the brackets (the simplifying bit).

PS. It is already in the form a+b(root)5! Remember that 'a' and 'b' can be a fraction :wink:

(edited 7 years ago)

Reply 2

TheConfusedMedic

21

why do you write your surds like that? Looks like you're trying to use things like the cubed root of 5 instead of 3 root 5.

Reply 3

Notnek

21

Original post by Sint

I'm stuck with the last step of these sorts of questions, where there is a surd divided by another surd. After rationalising and simplifying, I don't know how to get rid of the division line so that the answer is in the form a+b(root)5. Thanks for helping!