Mastering Adding and Simplifying Radicals

This video tutorial covers simplifying radical expressions, focusing on addition and subtraction. It provides step-by-step examples, including expressions with variables, to demonstrate the process of breaking down and combining radicals. The tutorial emphasizes the importance of recognizing perfect squares and using exponent properties to simplify expressions effectively.

What is the main focus of this video?

• Multiplying radical expressions

• Simplifying radical expressions involving addition and subtraction

• Dividing radical expressions

• Solving quadratic equations

How can 3√8 be rewritten?

• 3√16 * √2

• 3√8 * √2

• 3√2 * √4

• 3√4 * √2

What is the simplified form of 6√32?

• 24√2

• 12√2

• 6√2

• 18√2

What is the result of 6√2 - 24√2?

• 30√2

• -30√2

• -18√2

• 18√2

How can √180 be factored?

• 2 * 2 * 3 * 3 * 5

• 2 * 2 * 5 * 9

• 2 * 45

• 2 * 90

What is the simplified form of 6√405?

• 54√5

• 60√5

• 54√9

• 48√5

What is the result of √180 + 6√405?

• 54√5

• 54√9

• 60√5

• 60√9

How can √48a be rewritten?

• √2 * √24a

• √4 * √12a

• √16 * √3a

• √4 * √3a

What is the simplified form of √27a?

• 3√3a

• 3√9a

• √9 * √3a

• 9√3a

What is the result of 4√3a + 3√3a?

• 8√3a

• 6√3a

• 7√3a

• 9√3a