Perfect Squares and Factorization

This video tutorial covers the concept of perfect squares, explaining their properties and providing examples. It includes problem-solving exercises to find the smallest numbers that can be multiplied to make given numbers perfect squares. The tutorial also demonstrates how to use prime factorization and index form to solve these problems.

What is a perfect square?

• A number whose square root is a whole number

• A number that can be divided by 2

• A number that is a fraction

• A number that is a multiple of 10

Which of the following is a perfect square?

• 18

• 25

• 30

• 50

How can a perfect square be expressed?

• As a fraction

• As a product of two different numbers

• As factors with even indices

• As a sum of odd numbers

What is the smallest number to multiply 24 to make it a perfect square?

• 2

• 12

• 3

• 6

What is the prime factorization of 24?

• 2 * 2 * 2 * 3

• 2 * 3 * 4

• 2 * 2 * 3 * 3

• 3 * 3 * 2

What is the smallest number to multiply 54 to make it a perfect square?

• 14

• 21

• 7

• 28

What is the prime factorization of 54?

• 2 * 3 * 3 * 3

• 2 * 2 * 3 * 3

• 2 * 3 * 3 * 7

• 3 * 3 * 3 * 2

What is the smallest number to multiply 960 to make it a perfect square?

• 18

• 15

• 12

• 10

What is the prime factorization of 960?

• 2 * 2 * 3 * 3 * 5

• 2 * 2 * 2 * 3 * 3 * 5

• 2 * 2 * 2 * 2 * 2 * 2 * 3 * 5

• 2 * 3 * 3 * 3 * 5

What is the smallest number to multiply to make a product a perfect square in Problem 2, Part A?

• 14

• 21

• 28

• 35