Square Roots and Square Numbers

The video tutorial explains how to simplify square roots, focusing on the square root of 24. It introduces square numbers and demonstrates how to break down numbers into factors to simplify square roots using the product rule of radicals. The tutorial provides examples and clarifications to ensure understanding, concluding with a summary of the key concepts.

Why can't the square root of 24 be simplified directly?

• Because 24 is an even number.

• Because 24 is a prime number.

• Because 24 is not a perfect square.

• Because 24 is a composite number.

Which of the following is a square number?

• 20

• 12

• 16

• 8

What is the square root of 9?

• 3

• 4

• 5

• 2

Which of the following is NOT a square number?

• 4

• 1

• 9

• 10

What is the square root of 25?

• 6

• 5

• 4

• 7

What is the simplified form of the square root of 16?

• 4

• 2

• 3

• 5

What is the square root of 1?

• 1

• 0

• 3

• 2

What is the simplified form of the square root of 9?

• 5

• 4

• 3

• 2

How can 24 be expressed as a product of a square number?

• 4 * 6

• 5 * 5

• 3 * 8

• 2 * 12

Which of the following numbers can be expressed as a product of a square number?

• 18

• 20

• 30

• 24