Download Radical:

Algebra 2
Section 6.1: Roots of Real Numbers
Radical:
Radical Sign
Index
n
b
Radicand
Square Root:
Solution to the equation x2 = b
Every positive number b has two square roots:
+
b
and
-
b
1
Algebra 2
Section 6.1: Roots of Real Numbers
Examples: Simplify.
#1)
49
#2)
-
49
#3)
-49
2
Algebra 2
Section 6.1: Roots of Real Numbers
Examples: Find the real roots of each equation.
#1)
x2 = 144
#2)
4x2 - 24 = 0
#3)
5x2 + 45 = 0
3
Algebra 2
Section 6.1: Roots of Real Numbers
Cube Root:
Solution to the equation x3 = b
Every number b, whether it is positive,
negative, or zero, has exactly one cube root
Examples: Simplify.
#1)
#2)
#3)
3
3
4
125
-8
81
4
Algebra 2
Section 6.1: Roots of Real Numbers
Properties of Radicals:
( b(
n
n
= b
( 8(
3
n
b
n
=
b
3
n
b
n
=
2
b
4
3
=
if n is odd
3
=
if n is even
-44 =
5