Need help!!! (3 - 3 √(3a) )/(4 √(8a) )

Question

Need help!!!

`(3 - 3 √(3a) )/(4 √(8a) )`

Answer 1

So, to simplify, find what can be changed and what can't.
You can get rid of a, because whether they are both inside or out of a square root function (can't be mixed), they can be gotten rid of.
So, you will end up with
`(3-3 √(3) )/(4 √(8) )`.
But, that's not the simplest form.
The square root on the bottom still can be simplified.
So, find a factor in 8 that can have a perfect square. 2,4
2,2,2
Since 4 is a perfect squared (you find a pair of multiples when factored again), the simple version is 2
`√(2)`, but you have to multiply the number on the outside by the number already there.
4×2=8
So, your simplest equation would be
`(3-3 √(3) )/(8 √(2) )`.

Answer 2

3 - 3√3a
= -----------------
4√8a

3 - 3√3a
= -----------------
8√2a

(3 - 3√3a) √2a
= ----------------------
8 √2a √2a

3√2a - 3a√6
= ----------------------
16a

3(√2a - a√6)
= ----------------------
16a

hope it helps