Understanding Square Roots and Factorization

The video tutorial covers the process of simplifying square roots using factor trees and factorization. It begins with an introduction to square roots and perfect squares, followed by examples of finding square roots for numbers like 20, 48, 9, 12, and 50. Each example demonstrates different methods of factorization and simplification, highlighting the importance of identifying perfect squares and using coefficients effectively.

What is the simplified form of the square root of 20 using a factor tree?

• 2√5

• 4√5

• 5√2

• 10

Which of the following is a correct factorization of 48 to simplify its square root?

• 24 * 2

• 12 * 4

• 16 * 3

• 8 * 6

Which number is a perfect square factor of 48?

• 16

• 24

• 8

• 12

What is the simplified form of 3√9?

• 3

• 9

• 3n

• 9√3

What is the result of multiplying the coefficient outside the radical with the simplified square root of 9?

• 27

• 9

• n

• 3

How do you simplify the square root of 12 using factorization?

• 4√3

• 3√2

• 2√3

• 6

What is the coefficient of the simplified expression 5√12?

• 5

• 10

• 15

• 20

What is the square root of 4, a factor of 12?

• 3

• 2

• 1

• 4

What is the simplified form of the square root of 50 using a factor tree?

• 10

• 2√5

• 25√2

• 5√2

Which of the following is a prime factor of 50?

• 2

• 25

• 10

• 5