Adding and Subtracting Radical Expressions

Radical expressions are called like radical expressions if the indexes are the same and the radicands are identical. equation and equation are like radical expressions, since the indexes are the same and the radicands are identical, but equation and equation are not like radical expressions, since their radicands are not identical. Radical expressions can be added or subtracted only if they are like radical expressions.

Example 1

Simplify each of the following.

  1. equation

  2. equation

  3. equation

  1. equation

  2. equation

  3. equation