Root simplification
Example: (1/4) ^ (1/2) should simplify to (1/2).
Rationalization
Example: (1/2) ^ (1/2) should rationalize to sqrt(2) / 2.
It is proven that only for square roots and those in form of 1 / n^(p/q) where n, p & q are integers need to be concerned for rationalization.
Root simplification
Example:
(1/4) ^ (1/2)should simplify to(1/2).Rationalization
Example:
(1/2) ^ (1/2)should rationalize tosqrt(2) / 2.It is proven that only for square roots and those in form of
1 / n^(p/q)wheren,p&qare integers need to be concerned for rationalization.