Solve the programming task below in a Python markdown code block.
In this Kata, you're to complete the function `sum_square_even_root_odd`.

You will be given a list of numbers, `nums`, as the only argument to the function. Take each number in the list and *square* it if it is even, or *square root* the number if it is odd. Take this new list and find the *sum*, rounding to two decimal places.

The list will never be empty and will only contain values that are greater than or equal to zero.

Good luck!
Also feel free to reuse/extend the following starter code:
```python
def sum_square_even_root_odd(nums):
```