Adding and subtracting radical terms

The video tutorial covers the operations of addition and subtraction with radicals, focusing on simplifying square roots of numbers like 48, 75, and 12. It emphasizes the importance of identifying the largest square number for simplification and demonstrates how to combine radicals with like terms. The tutorial also outlines the rules for combining and simplifying radicals, ensuring students understand the process and avoid common mistakes. The session concludes with a recap and addresses any questions from the students.

What is the first step in simplifying a radical expression?

• Multiply the numbers under the radicals

• Add the numbers under the radicals

• Find the largest square number that divides the number under the radical

• Subtract the numbers under the radicals

When simplifying sqrt 48, which is the largest square number used?

• 12

• 4

• 24

• 16

What is the simplified form of sqrt 75?

• 25 sqrt 3

• 15 sqrt 5

• 3 sqrt 5

• 5 sqrt 3

Which of the following is true about combining radicals?

• Radicals can be combined by multiplying the numbers under the radicals

• Radicals can be combined if they are like terms

• Radicals can be combined if they have different denominators

• Radicals can be combined by adding the numbers under the radicals

What is the result of 8 sqrt 3 - 5 sqrt 3 - 2 sqrt 3?

• 3 sqrt 3

• 0

• 5 sqrt 3

• 1 sqrt 3