holt algebra 1 11-6 radical expressions 11-6 radical expressions holt algebra 1 warm up warm up...
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Holt Algebra 1
11-6 Radical Expressions11-6 Radical Expressions
Holt Algebra 1
Warm UpWarm Up
Lesson PresentationLesson Presentation
Lesson QuizLesson Quiz
Holt Algebra 1
11-6 Radical Expressions
Warm Up
Identify the perfect square in each set.
1. 45 81 27 111
2. 156 99 8 25
3. 256 84 12 1000
4. 35 216 196 72
81
196
25
256
Holt Algebra 1
11-6 Radical Expressions
Warm Up Continued
Write each number as a product of prime numbers.
5. 36
6. 64
7. 196
8. 24
Holt Algebra 1
11-6 Radical Expressions
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.
Holt Algebra 1
11-6 Radical Expressions
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.
Holt Algebra 1
11-6 Radical Expressions
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.
Holt Algebra 1
11-6 Radical Expressions
Lesson Quiz: Part I
Simplify each expression.
1.
2.
Simplify. All variables represent nonnegative numbers.
3. 4.
5. 6.
6
|x + 5|
Holt Algebra 1
11-6 Radical Expressions
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