Arithmetic Operations

The simplification of algebraic expressions with radicals will involve the simplification and combination of the quantities within the radical sign. To add and subtract radicals, one must ensure that the index and the radicand have the same value.

In multiplying and dividing radicals, one must ensure that the indices of the radicals have the same value, in order to use the algebraic laws governing radicals.

The distributive property is used when addition and multiplication are combined in expressions involving radicals.