Question

How do you get to the simplified answer shown? Thanks in advance

Answer 1

It's because you can write "sqrt(96)" as "sqrt(6) x sqrt(16)"  
[this is because: sqrt(ab) = sqrt(a) x sqrt(b)]  
What do we know sqrt(16) is? 4!

So you end up with -8 + 4sqrt(6), all over 16. 8, 4 and 16 all have a factor of 4, so you can divide them all by 4, therefore simplifying it down to what is shown!

Answer 2

I got the answer shown as above but don't know how to get to the simplified answer

Answer 3

sqrt(96)= sqrt (16*6) = sqrt(16)*sqrt(6) = 4*sqrt(6

I think you should be able to solve the rest...