Question

Need help!!! id="TexFormula1" title=" \frac{3 - 3 \sqrt{3a} }{4 \sqrt{8a} } " alt=" \frac{3 - 3 \sqrt{3a} }{4 \sqrt{8a} } " align="absmiddle" class="latex-formula">

Answer 1

      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

Answer 2

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 $\frac{3-3 \sqrt{3} }{4 \sqrt{8} }$.
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$\sqrt{2}$, but you have to multiply the number on the outside by the number already there.
4×2=8
So, your simplest equation would be $\frac{3-3 \sqrt{3} }{8 \sqrt{2} }$.