Radical Expressions And Rational Exponents Worksheet By A.e.cary Page 2
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6Math 95 Lecture Notes
Section 7.1: Radical Expressions and Rational Exponents
Cube Roots
3
The number b is a cube root of a if b
= a.
The cube root of a negative number is a real number.
Example 3. Evaluate the following expressions. Simplify each as much as possible.
3
3
3
6
(a)
64
(b)
8
(c)
a
1
3
(d)
27
n
Roots
th
The number b is an n
root of a if b = a.
An even root of a negative number is NOT a real number.
Ann odd root of a negative number is a real number.
Example 4. Evaluate the following expressions. Simplify each as much as possible.
4
5
4
5
(a)
81
(b)
81
(c)
32
(d)
32
Instructor: A.E.Cary
Page 2 of
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