1. 11-6 Radical Expressions Warm Up Lesson Presentation Lesson Quiz
Holt Algebra 1

2. Warm Up
Identify the perfect square in each set. 81 25
256
196

3. Warm Up Continued
Write each number as a product of prime numbers.
5. 36
6. 64
7. 196
8. 24

4. Objective
Simplify radical expressions.

5. Vocabulary
Radical expression
Radicand
Perfect square

6. An expression that contains a radical sign is a radical expression
An expression that contains a radical sign is a radical expression. There are many different types of radical expressions, but in this course, you will only study radical expressions that contain square roots.
Examples of radical expressions:
The expression under a radical sign is the radicand. A radicand may contain numbers, variables, or both. It may contain one term or more than one term.

8. The First 20 Perfect Squares
A perfect square is a number whose square root is a whole number. It will be beneficial in the throughout upper level math to know common perfect squares.

9. There are two common methods of removing perfect squares from the radicand.
Method 1:
Divide all perfect square factors from the radicand.
Method 1:
Break down the radicand into product of primes.
Then remove any pairs from the radical.

10. Simplify each radical expression.

11. Simplify each radical expression.

12. Lesson Quiz: Part I
Simplify each expression. 1. 6 2.
|x + 5|
Simplify. All variables represent nonnegative numbers. 3. 4. 5. 6.

13. Lesson Quiz: Part II
7. Two archaeologists leave from the same campsite. One travels 10 miles due north and the other travels 6 miles due west. How far apart are the archaeologists? Give the answer as a radical expression in simplest form. Then estimate the distance to the nearest tenth of a mile.
mi; 11.7mi