Add Radicals and Roots

The user can introduce any set of roots or radicals (maximum 8) and get the result of their sum as simplified as possible.
The user can introduce the radicals through a form. In this form, the user will choose the coefficient (number that multiplies to the radical), the index and the radicand of the radical.
When you introduce the radicals the app will simplify them as much as possible. To do this, firstly, the app extracts factors outside the root and then divides the exponents of the factors and the index by the same number if it is possible. When all the radicals are simplified we can add or subtract them if they have the same index and the same radicand.
The application explains each operation step by step.