Simplifying Expressions with Square Roots

The video tutorial explains the concept of square roots, including perfect squares and irrational numbers. It demonstrates how to simplify square roots by breaking them into factors, using examples like radical 18 and radical 24. The tutorial also covers cases where simplification is not possible, such as radical 30, and concludes with the importance of these skills in algebra.

What is the square root of 25?

• 6

• 7

• 5

• 4

Which of the following numbers is a perfect square?

• 30

• 25

• 20

• 18

How can the square root of 400 be simplified?

• 15

• 10

• 20

• 25

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

• 2√2

• 3√2

• 4√2

• 5√2

Why can't the square root of 30 be simplified further?

• It is a rational number.

• It is an even number.

• It has no perfect square factors.

• It is a perfect square.