Prime Factors and Square Roots

The video tutorial explains how to simplify square roots using factor trees and prime factorization. It covers three examples: simplifying the square root of 18, the square root of 24, and a square root with a coefficient. The process involves breaking down numbers into their prime factors, identifying perfect squares, and simplifying the expression by extracting pairs of factors from under the radical.

What is the first step in simplifying the square root of 18?

• Divide by 3

• Subtract 1

• Multiply by 2

• Create a factor tree

Which of the following is a prime factor of 18?

• 5

• 2

• 6

• 4

What is the simplified form of the square root of 18?

• 2√3

• 3√2

• 4√2

• 5√3

When simplifying the square root of 24, what is the first factor you divide by?

• 2

• 3

• 4

• 6

What is the simplified form of the square root of 24?

• 5√2

• 4√3

• 3√4

• 2√6

In the example of simplifying square root of 72, what is the coefficient in front of the radical?

• 1

• 2

• 3

• 4

What is the first step in simplifying the square root of 72?

• Divide by 2

• Subtract 5

• Divide by 3

• Multiply by 4

What is the simplified form of 2√72?

• 10√4

• 8√3

• 12√2

• 6√2

Which of the following is a prime factor of 72?

• 5

• 7

• 9

• 2

What is the result of pairing the prime factors of 72?

• 2 and 5

• 3 and 4

• 4 and 6

• 2 and 3