Question

12+root of 35 divided by 2 + 12-2 root of 35 divided by 2

Answer 1

So : $12+ \frac{\sqrt{35}}{2} + \frac{12-2 \sqrt{35} }{2}$?

First, you want to bring everything together on the top of the fraction. 
12=24/2 so you can have $\frac{24+ \sqrt{35}+12-2 \sqrt{35} }{2}$

Add like terms -- 12 +24 = 36       $\sqrt{35}-2 \sqrt{35} = \sqrt{35}$

Now we are at $\frac{24+ \sqrt{35} }{2}$ Which is the lowest possible simplified version while remaining at exact value. 

Feel free to check my math! I kinda did this off the top of my head.