Linked to A four digit number using exact same 4 digits
A number with same repeated digits is called a Repdigit or Monodigit number https://en.wikipedia.org/wiki/Repdigit
Can you write an equation for the 7 digit Repdigit number 2222222 using only the digit 2 and its Repdigit numbers (EXCEPT the original number 2222222) and the following seven math operations:
+ - / * ! ^ and square-root
The seven math operations must be used exactly once.
Order of the math operations not important.
The RHS of the equation can only show Repdigit numbers of 2, including 2, but not 2222222.
Bonus: Can you create a general equation for the number 2222... that has "n" 2s and n>2?