How to use prime factorization to take the square root of a number, sqrt(81)

The video tutorial explains the concept of square roots and prime factorization. It begins by discussing the square root of 81 and demonstrates how to use prime factorization to understand why the square root is 9. The tutorial then explores the square root of 9, showing how it can be expressed as 3 squared. The concept of taking the square root of a pair is introduced, emphasizing that the square root of a pair equals the value of one of the numbers in the pair. The tutorial uses examples to illustrate these mathematical concepts, providing a clear understanding of square roots and prime factorization.

What is the square root of 81?

• 8

• 7

• 9

• 10

Which of the following is the prime factorization of 81?

• 7 * 7

• 5 * 5 * 5

• 3 * 3 * 3 * 3

• 2 * 2 * 2 * 2

How can the number 9 be expressed using exponents?

• 5^2

• 2^3

• 4^2

• 3^2

What is the square root of 9?

• 2

• 3

• 4

• 5

What does taking the square root of a pair of numbers result in?

• The value of one of the numbers

• The original number

• The product of the numbers

• The sum of the numbers