Learning Objectives:

__Math Tutoring on Multiplying Radicals__

To **multiply** two **radical** expressions with the same index **multiply** the coefficients together and **multiply the radicands** together then simplify. For example, **p√u •q√v = pq√uv. **

When **multiplying binomials** of **radicals,** we follow the same rules for other products involving **binomial** expressions,

**1. a ( b + c ) = ab + ac **

**2. ( a + b ) ( c + d ) = ac + ad + bc + bd **

Let’s talk about** conjugates** now. The expression **(a + √ b)** and **( a - √b )** are called **conjugates** of each other. Another example of **conjugates **are **( √a + √b ) **and** ( √a - √b ).** Notice that they differ only in the sign between the terms, one is an addition and one is subtraction. The product of two **conjugates** is the difference of two squares and this result is very helpful when simplifying **radical** expressions that contain a sum or difference in the denominator.

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**Hook Questions:**

*1. How do you multiply two square roots? *

*2. What is a conjugate in math? *

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