Simplifying radicals multiplied by an integer

The video tutorial introduces the concept of square numbers and demonstrates how to simplify expressions by identifying and using square numbers. The teacher guides students through an example problem, showing how to break down a number into its square components and simplify the expression. The process involves identifying the largest square number that can divide a given number and using this to simplify the expression further.

What is the square root of 9?

• 2

• 3

• 4

• 5

Which of the following is a square number?

• 5

• 7

• 9

• 11

What is the largest square number that can divide 24?

• 6

• 2

• 3

• 4

How can 24 be rewritten using square numbers?

• 3 times the square root of 2 times 4

• 2 times the square root of 4 times 6

• 4 times the square root of 2 times 3

• 2 times the square root of 3 times 8

What is the simplified form of 2 times 2 times the square root of 6?

• 5 square root of 6

• 2 square root of 6

• 3 square root of 6

• 4 square root of 6