How many twos do you need to get to the number $100$ exactly?
Example: $22+22+22+22+2^2+2^2+2^2$
This example method uses 14 twos and is obviously not ideal. Can you find a way that uses the least amount of twos? I've seen some things like this on PuzzlingSE and they've been pretty well accepted so I decided to make my own, as these are fun to do! The lowest number of twos will win!
Math You Can Use:
- Addition
- Subtraction
- Multiplication
- Division
- Exponents
- Square & Cube Roots
Other Rules For Clarification:
The only number you may use are twos; any other numbers must be made with a combination of twos in some way.
This problem uses base 10 and the answer should be base 10.