Surds/Radicals

$$√^n{a}√^n{b} = √^n{ab}$$
$$√^n{a} = a^{1/n}$$
$$√^n{a^n} = a$$ when n is odd

$$√^n{a^n} = {|a|}$$ when n is even

$$√^m{√^n{a}} = √^{mn}{a}$$
$$√^n{a/b} = {√^n{a}}/{√^n{b}}$$