## doc.brown one year ago How did my computer simplify this?

1. doc.brown

$\frac{12-\sqrt{204}}6$became$\frac{-1}3\sqrt{51}+2$

2. welshfella

sqrt204 = sqrt 4 * sqrt51 = 2 sqrt51

3. welshfella

Now you can do some simplifying

4. theopenstudyowl

There are quite a few steps to this operation.....

5. welshfella

12 - 2sqrt51 ------------- 6 Next step is to divide top and bottom by 2

6. welshfella

Can. You do that?

7. doc.brown

$\frac{12-\sqrt{204}}{6}$$\frac{12-\sqrt{4}\sqrt{51}}6$$\frac{12-2\sqrt{51}}6\cdot\frac22$$\frac{6-\sqrt{51}}{3}$$\frac63-\frac{\sqrt{51}}3$$=2-\frac{\sqrt{51}}3$ Thanks