11-6Radical
11-6
RadicalExpressions
Expressions
Warm Up
Lesson Presentation
Lesson Quiz
Holt
Algebra
Holt
Algebra
11
11-6 Radical Expressions
Warm Up
Identify the perfect square in each set.
1. 45 81 27 111 81
2. 156 99 8 25 25
3. 256 84 12 1000 256
4. 35 216 196 72 196
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
Objective
Simplify radical expressions.
Holt Algebra 1
11-6 Radical Expressions
Vocabulary
Radical expression
Radicand
Perfect square
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
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
Simplify each radical expression.
Holt Algebra 1
11-6 Radical Expressions
Simplify each radical expression.
Holt Algebra 1
11-6 Radical Expressions
Lesson Quiz: Part I
Simplify each expression.
1.
2.
6
|x + 5|
Simplify. All variables represent nonnegative
numbers.
3.
4.
5.
6.
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
Holt Algebra 1