In week 3 of pre-calculus, we discussed how to subtract and add roots, simplifying them together. It is very similar to the base simplifying tactics we learned when using exponents. You can add and subtract exponents together as long as their base is the same, creating a question more appealing to the eye. An example of this would be (5² ÷ 5³ -> 5¹), and because the base is the same, you can add or subtract the exponents, leaving the question’s base alone and “mashing” to two equations together. You can use this same tactic when working with roots. Except, instead of adding or subtracting the exponents, it is the coefficients. Although there are some rules, being; they must have the same base, and the index on the root has to be the same. Simplifying a question down is the most important thing to do with a math question. You cannot always mash these equations together, but it can be a tremendous help when you can.
Example:

Moving onto more difficult questions; it can sometimes be hard to simplify correctly. Continuing with using the rule of having the same index on the root is very important. It can help decipher complicated-looking questions. You must focus on matching roots that fit together perfectly.
This is shown in the example below.