Breaking down the square root of forty, sqrt(40)

The video tutorial covers two methods for simplifying radicals: prime factorization and identifying the largest square factor. The prime factorization method involves breaking down a number into its prime factors to simplify the radical. The second method focuses on finding the largest square number that is a factor of the given number, allowing for a more straightforward simplification. The instructor emphasizes the importance of understanding both methods, with a preference for the square number method in class. However, prime factorization remains a reliable alternative when needed.

What is the alternative method mentioned for simplifying radicals?

Why is it important to know both methods of simplifying radicals?