Radicals and Conjugates
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Common Core For Algebra
Radicals and Conjugates
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
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
- Find the product of the conjugate radicals.
Example 3
Lesson Summary
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