Simplifying Radical Expressions with Variables

The video tutorial reviews simplifying radical expressions, starting with expressions without variables. It explains the process of factoring out the largest perfect square and combining like terms. Examples include simplifying the square root of 50 and 3√128. The tutorial then introduces variables into radical expressions, explaining how to handle them and providing examples. The video concludes with a call to practice more problems in class.

What is the first step in simplifying a radical expression?

• Break down the expression into smaller parts

• Multiply all terms

• Factor out the largest perfect square

• Combine like terms

Which of the following is a perfect square?

• 18

• 20

• 30

• 25

What is the simplified form of the square root of 50?

• 25√2

• 2√25

• 10√5

• 5√2

When simplifying 3√128, what is the first perfect square used?

• 16

• 25

• 9

• 4

What is the final simplified form of 3√128?

• 12√2

• 8√16

• 24√2

• 6√8

What should you get when you simplify -8√20?

• -20√2

• -4√10

• -8√5

• -16√5

What is the square root of x squared?

• x/2

• 2x

• x^2

• x

How do you simplify the square root of 48x?

• 4√3x

• 4x√3

• 3x√4

• 2x√12

What is the simplified form of √50v^2?

• 10v√5

• 2v√25

• 25v√2

• 5v√2

What is the final simplified form of 5√32x^3?

• 20x√2x

• 10x√4x

• 15x√8x

• 25x√16x