Download means principal root

7.1
Simplifying Radicals
Objectives:
• To simplify square roots.
Roots
nth root of a
n
Index
Radical Sign
a
SIMPLIFY
(means principal root)
9
 9
.09
Radicand
1
9
9
Product and Quotient Properties of
Radicals
n
ab  a  b
n
n
n
a
a
n
b
b
n
Steps for Simplifying Roots
8
4 2
4 2
2 2
2 2
1) Find the largest perfect square
that is a factor of the number
2) Write the factor pair under the
square root
3) Separate into two square roots
4) We choose a perfect square
because we know its square
root is an integer.
5) Imply multiplication
Steps for Simplifying Roots
12
43
4 3
2 3
2 3
1) Find the largest perfect square that is a
factor of the number
2) Write the factor pair under the square root
3) Separate into two square roots
4) We choose a perfect square because we
know its square root is an integer.
5) Imply multiplication
Steps for Simplifying Roots
18
92
9 2
3 2
3 2
1) Find the largest perfect square that is a
factor of the number
2) Write the factor pair under the square root
3) Separate into two square roots
4) We choose a perfect square because we
know its square root is an integer.
5) Imply multiplication
You try!
20
You try!
24
Assignment
7.1 Worksheet