To solve this equation, we need to first distribute the x - 2 to the square root of x - 2.

So, we have:
(x - 2)√(x - 2) = 0

Now, we can set each factor to 0:

x - 2 = 0 or √(x - 2) = 0

For x - 2 = 0, we can solve for x:
x = 2

For √(x - 2) = 0, we can square both sides to get rid of the square root:
(x - 2) = 0
x = 2

Therefore, the solution to the equation (x - 2)*(√(x - 2)) = 0 is x = 2.