```Algebra 2
Name:______________________________
Per. _____
State Standard: 2.1.6-8.A Represent and use numbers in equivalent forms (square roots).
Objective: At the end of this lesson, you should be able to simplify radicals.
Daily Questions: Find the first 15 perfect squares.
12=
22=
32=
42=
52=
62=
72=
82=
92=
102=
112=
122=
132=
142=
152=
1. List the 5 steps to simplifying radicals.
1) _________________________________________________________________
2) _________________________________________________________________
3) _________________________________________________________________
4) _________________________________________________________________
5) _________________________________________________________________
2. Simplify the following radicals. Use the progress boxes to check off each step as you
complete it.
a) √20
Find a perfect square that
divides into the given radical evenly.
(bigger the better)
product of the two numbers
Give each of the numbers its own
Simplify the perfect square
Can the new root be reduced?
b) √72
Separate the fraction into two parts.
5
c) √2
Multiply both parts by the radical in the
denominator.
d)
3
√8
Simplify the radical on top if possible.
Simplify the entire fraction.
e) 2√3 ∙ 4√6
2
5
f) √3 ∙ √6
CHECK FOR UNDERSTANDING
Fill in the blanks to explain what happens if you chose 4 as your “largest perfect square”
when simplifying √48 instead of choosing 16. You may want to work the problem out
using 4 as your “largest perfect square” to help organize your thoughts.
If you chose 4 as the “largest perfect square” you get _________________ as the final