Understanding Square Roots Using Factor Trees

The video tutorial explains how to use factor trees to find square roots of numbers. It begins with an example of finding the square root of 16, demonstrating the process of creating a factor tree and identifying prime numbers. The tutorial continues with examples for the square roots of 64, 18, and 36, highlighting the importance of pairing prime numbers to simplify square roots. The video concludes with a brief summary and an invitation to subscribe for more math and science content.

What is the first step in finding the square root of a number using a factor tree?

• Subtract 1 from the number

• Divide the number by 3

• Create a factor tree

• Multiply the number by 2

When finding the square root of 16, which prime number is repeatedly used in the factor tree?

• 7

• 5

• 3

• 2

How many pairs of prime numbers are there in the factor tree of 64?

• 1

• 3

• 4

• 2

What is the square root of 64?

• 6

• 8

• 7

• 9

In the factor tree of 18, which prime numbers are used?

• 2 and 5

• 3 and 7

• 5 and 7

• 2 and 3

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

• 5√3

• 2√3

• 4√2

• 3√2

What mistake was corrected in the factor tree of 36?

• Using 6 instead of 3

• Using 7 instead of 2

• Using 5 instead of 2

• Using 4 instead of 3

What is the square root of 36?

• 8

• 7

• 6

• 5

Which of the following is a correct pair of prime numbers in the factor tree of 36?

• 2 and 5

• 3 and 3

• 4 and 4

• 5 and 5

What is the purpose of circling numbers in a factor tree?

• To highlight prime numbers

• To mark numbers that are incorrect

• To identify composite numbers

• To indicate numbers that need to be multiplied