Adding two radicals by simplifying

The video tutorial explains how to simplify and add radicals in a mathematical problem. It begins with an introduction to the problem, emphasizing the need to simplify radicals before performing addition. The instructor demonstrates breaking down complex radicals into simpler components that can be easily managed. By rewriting radicals with numbers that have known square roots, the instructor simplifies the expression and adds the simplified radicals to reach the final solution.

What is the first step in simplifying the radicals in the problem discussed?

Why is it important to have the same radicands when adding or subtracting radicals?

How can the square root of 75 be rewritten to simplify it?

What numbers were chosen to rewrite the square root of 12, and why?

After simplifying, what is the final result of adding 5 square root of 3 and 2 square root of 3?