Radicals (also called roots) are the opposite of exponents. This is also called an inverse.
There are actually 3 parts to a radical. Square-roots don’t have an index because we assume it’s 2.
- the RADICAL
- the RADICAND
- the INDEX
The index tells us how many identical factors we’re looking for.
We know the Radical & Radicand from simplifying square roots.
Example: since the index is 3, and there are 3- 5’s
To simplify radical expressions follow these steps.
Step 1: determine the index
The index is the small number in the angle of the radical symbol.
The index is 3.
Step 2: factor the radicand.
Step 3: pull out repeated factors of the amount of the index (in this case 3 times).
Step 4: repeated factors are removed from the radical and made single. All other factors stay inside the radical.
Step 5: Simplify