Simplifying Radicals and Roots

The video tutorial covers the topic of simplifying radicals. It begins with an introduction to the anatomy of a radical expression, explaining the parts such as the radical sign, index, and radicand. The teacher emphasizes the importance of memorizing perfect squares and provides examples of simplifying radicals, including those that are not perfect squares. Advanced examples demonstrate rationalization techniques. The video concludes with a summary and a call to action for viewers to subscribe to the channel.

What is the term for the number under the radical sign?

• Exponent

• Radical

• Radicand

• Index

If a radical has no visible index, what is the default index assumed?

• 2

• 4

• 1

• 3

Which of the following is a perfect square?

• 50

• 32

• 25

• 18

What is the square root of 64?

• 8

• 7

• 6

• 9

How do you simplify the square root of a non-perfect square like 32?

• Add 10

• Multiply by 2

• Factor into a perfect square and another number

• Divide by 2

What is the simplified form of the square root of 25?

• 4

• 6

• 5

• 3

How do you simplify the square root of x squared?

• 2x

• x squared

• x cubed

• x

What is the simplified form of the square root of 4x squared?

• 2x squared

• x squared

• 2x

• 4x

What is the cube root of 8?

• 1

• 4

• 2

• 3

How do you simplify the cube root of x to the fifth power?

• x to the power of 5/3

• x to the power of 2/3

• x squared

• x cubed