Converting to Entire Radicals and Comparing Radicals

Entire Radical

A radical expression in which the entire numerical value is written underneath the radical symbol with an outside coefficient of $1$.

Index (Radical)

The number that indicates which root is being taken (such as a square root, cube root, or fifth root); it must be kept unchanged when converting a mixed radical into an entire radical.

Steps to Express as Entire Radicals

1. Multiply everything underneath the root by rewriting the outside coefficient under the radical with the corresponding power.
2. Make sure