Exploring Adding and Subtracting Rational Expressions

The video tutorial covers the basics of radicals, including square and cube roots. It explains the components of a radical, such as the radicand and index, and how to simplify both perfect and non-perfect squares and cubes. The tutorial provides examples and methods for finding the principal root and simplifying expressions involving radicals.

What is assumed when the index of a radical is not visible?

• The index is 3, indicating a cube root

• The index is 2, indicating a square root

• No assumption is made about the index

• The index is 1

What is the square root of 81?

• -9

• 81

• 8

• 9

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

• Use a calculator

• Find the largest perfect square that divides the radicand

• Multiply by the largest perfect square

• Divide by the smallest perfect square

What is the cube root of 8?

• 4

• 3

• 8

• 2

What is the cubed root of negative 343?

• -7

• -49

• 7

• 49

How is the cubed root of a negative number represented?

• As a positive number

• As a negative number

• Is always zero

• Cannot be determined

What is the first step in simplifying the cubed root of a non-perfect cube?

• Divide by the smallest perfect cube

• Find the greatest perfect cube that divides the radicand

• Multiply by the greatest perfect cube

• Use the cubed root function on a calculator

What is the cubed root of 125?

• 10

• 5

• 15

• 25

How do you handle a negative under the cube root symbol?

• Ignore the negative

• The cubed root is negative

• Convert it to a positive

• It's undefined

What is the cubed root of negative 64?

• 8

• -4

• 4

• -8