Student Outcomes

• Students understand that the sum of two square roots (or two cube roots) is not equal to the square root (or cube root) of their sum.
• Students convert expressions to simplest radical form.
• Students understand that the product of conjugate radicals can be viewed as the difference of two squares.

### New York State Common Core Math Algebra II, Module 1, Lesson 9

Worksheets for Algebra II, Module 1, Lesson 9

Classwork

Opening Exercise

Which of these statements are true for all 𝑎, 𝑏 > 0? Explain your conjecture.

Example 1:

Express √50 −√18 + √8 in simplest radical form and combine like terms.

Exercises 1–5

Example 2

Multiply and combine like terms. Then explain what you notice about the two different results.

Exercise 6

1. Find the product of the conjugate radicals.

Example 3

Lesson Summary

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.