I choose Adding and subtracting radicals because it was a new to use radicals in a brand new way to uses my past math knowldge like keeping the same base with exponents or denominator with adding and subtracting these operations. Adding and Subtracting radicals is important Step in order to simplify radical equations to there simplest form

1. to add and subtract radicals we must first make sure that the radical are like which means that the radicands or numbers in the root sign and the index of the radicals used are the same then we simply leave the radicand and add or subtract the coefficients for the result
2. an example of this is this to solve we add the 3 and 4 coefficients to get 7 and leave the radical 4 this is the answer:  .
3. if not we must first simplify one number to its  simplest form in mixed radical form this can be done by finding out two numbers that multiply to equal to it with one        being a perfect number then we simply  put that numbers root as the coefficient and the other as the the radicand furthermore if you put both in simplest mixed fraction form and they dont have the same index and radicand then leave them in mixed fraction form.
4. after the bases are the same we can add simply add or subtract the coefficients and leave the radicand .
5. another example is this this example doesn’t have like radicands so we must simplify the big radicand 27 to do this we first find the perfect square since the index or root is 2  which we know is 9 then we know that 3 is the square root of 9 so that is the coefficient and 9 times 3 is 27 so the radicand is 3 which equals then we know that
6. picture link: https://www.youtube.com/watch?v=qkwjfwtE6uc&ab_channel=MichelvanBiezen