Understanding Radical Expressions and Their Properties

The video tutorial covers simplifying radical expressions, focusing on square roots. It explains the process of prime factorization to simplify square roots and discusses the rationality of the results. Examples include square roots of integers, fractions, and decimals, highlighting when results are rational or irrational.

What is the positive square root of 25?

• 3

• 4

• 5

• 6

Which of the following is the simplified form of the square root of 24?

• 4√3

• 3√2

• 2√6

• 5√2

What is the simplified form of the square root of 20?

• 2√5

• 5√5

• 4√5

• 3√5

How can the square root of 200 be expressed in simplified form?

• 25√2

• 20√2

• 10√2

• 15√2

What is the simplified form of the square root of 2000?

• 10√5

• 15√5

• 20√5

• 25√5

What is the square root of 1/4?

• 1/4

• 1/3

• 1/5

• 1/2

What is the square root of 9/4?

• 3/4

• 2/3

• 3/2

• 1/2

What is the square root of 0.16?

• 0.5

• 0.4

• 0.3

• 0.2

What is the square root of 0.01?

• 0.3

• 0.2

• 0.4

• 0.1

Which of the following is irrational?

• √9

• √16

• √4

• √10