Fill in the appropriate operation signs ( +, -, × ,÷ ,√,) to make the following sentances true.

2 + 2 + 2 = 6                    (6 x 6 ) / 6 = 6

(3 x 3) - 3 = 6                    7 - (7 / 7) = 6

4 + 4 - √4 = 6                  8 - √ (√( 8 + 8))  =  8 - √√(16)   = 8 -√4 = 8 - 2  = 6

5 + (5 / 5)= 6                    (√ 9  x √9 )  - √9 = 6    

That looks like a fun little exercise. 

Alternatives:

2 * 2 + 2 = 6                         6/6 * 6 = 6

√3 * √3 + 3 = 6                     6√6 / √6 = 6

√(4 *4)+√4 = 6                     6/√6 *√6 = 6

4 * √4) - √4 = 6                    9 - (9 / √9) = 6

√√(4*4) + 4 = 6                    9 - √(√9 * √9) = 6

                                             9 - √√(9 * 9) = 6

Thanks for those alternatives, Tetration......these kinds of things are always fun to play around with......making 6 with three "8s"  was kind of hard to figure out......!!!!