What does simplifying radicals mean in math?

[rosewattson]

I’m trying to understand how to simplify square roots and other radicals. Can someone explain the steps and rules for simplifying radicals with examples?

 

[robbin]

Simplifying radicals in math means reducing a square root, cube root, or higher root to its simplest form. This involves removing perfect square (or cube) factors from under the radical sign and writing them outside. For example, 50\sqrt{50}50 simplifies to 525\sqrt{2}52. The goal is to make the expression cleaner and easier to work with.

 

[Jone]

The simplification of radicals is the simplification of a square root or other expression of root. This means to include perfect squares or cubes to the left to leave the radical with no superfluous factors within it. The objective is a cleaner more user-friendly way of calculating or comparing things.