Exploring Adding and Subtracting Radicals

The video tutorial covers operations with radical expressions, focusing on addition, subtraction, and multiplication. It explains the concept of like radicals, which have the same radicand, and provides steps for simplifying and combining radicals. The tutorial includes several example problems to illustrate the process of adding and subtracting radicals, emphasizing the importance of simplifying each radical expression and ensuring the radicands are the same before performing operations.

What are the three main operations discussed in the video?

• Addition, Division, and Multiplication

• Addition, Subtraction, and Multiplication

• Subtraction, Division, and Multiplication

• Addition, Subtraction, and Division

What is a radicand?

• The number under the radical sign

• The coefficient of the radical

• The exponent of the radical

• The number outside the radical sign

Which of the following pairs are like radicals?

• 10√7 and -3√5

• 7√3 and 10√7

• 6√5 and -3√5

• 6√5 and 7√3

What is the first step in adding or subtracting radical expressions?

• Combine all like radicals

• Simplify each radical expression

• Perform the operation on the coefficients

• Check if the radicands are the same

When adding or subtracting radicals, what should you do with the coefficients?

• Multiply them

• Divide them

• Add or subtract them

• Ignore them

In the example 2√3 + √3, what is the coefficient of √3 if none is written?

• 0

• 1

• 2

• 3

What is the simplified form of 9√8?

• 9√2

• 18√2

• 3√8

• 6√2

If you have -10√20, what is the simplified form?

• -20√5

• -10√5

• -5√20

• -2√10

In the final example, what is the simplified form of 5√54?

• 5√6

• 20√6

• 10√6

• 15√6

What is the final answer for the expression -4√6 + 4√6 - 15√6?

• -11√6

• -15√6

• -19√6

• 0