Simplifying with fractional indeces

Hello everyone,

Please could somebody kindly explain what I'm doing wrong here. I have to simplify:

My approach so far is:

... and then I've tried various methods involving simplifying each of the terms, but none of them leads to the correct answer which should be:

Re: Simplifying with fractional indeces

Quote:

Originally Posted by

**mabentley** Hello everyone,

Please could somebody kindly explain what I'm doing wrong here. I have to simplify:

My approach so far is:

... and then I've tried various methods involving simplifying each of the terms, but none of them leads to the correct answer which should be:

I'd suggest multiplying through by the lowest common denominator which is

Now rationalise the denominator by multiplying top and bottom by