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 prime factorization of 40?

• 2 * 2 * 2 * 5

• 4 * 5

• 2 * 5 * 4

• 10 * 4

Which of the following is a square number?

• 20

• 10

• 16

• 8

What is the preferred method for simplifying radicals according to the teacher?

• Using prime factorization

• Guessing the square root

• Using the largest square number

• Using a calculator

If you cannot find a square number factor, what should you do?

• Ask a friend

• Skip the problem

• Use prime factorization

• Use a calculator

What is the square root of 4?

• 1

• 4

• 2

• 3