Question

How did my computer simplify this?

Answer 1

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

Answer 2

sqrt204 = sqrt 4 * sqrt51 = 2 sqrt51

Answer 3

Now you can do some simplifying

Answer 4

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

Answer 5

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

Answer 6

Can. You do that?

Answer 7

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