Simplifying Radicals - Square Roots
Warm Up
The
f ollowing
e xpressions
a re
a ll
e quivalent,
e xcept
f or
O NE.
F ind
t he
o ne
t hat
d oes
n ot
belong
a nd
c ircle!
B e
a ble
t o
d efend
y our
r esponse.
H int
–
t he
f irst
o ne
“ belongs”.
1
1
!!
!!
1.
( 2)
2
8
!
!
(2)
!
!
5
2.
25
!
!
25
!
(25
)
!
!
!
!
!
!
!
3.
(
)
!
!
!
!
!
!
!
!
!
!
!
!
4.
8
!
!
!
2
8
2
!
!
!
!
!
Breaking Down Square Roots
When
t aking
s quare
r oots,
s ometimes
t hings
w ork
o ut
n icely
( ex:
)
a nd
s ometimes
81
=
_ _____
they
d o
n ot
( ex:
).
75 = ______
• Numbers
t hat
h ave
a
s quare
r oot
a re
c alled
_ _________________
.
Numbers
t hat
d o
n ot
h ave
a
s quare
r oot
d irectly
a re
c alled
_ _________________.
• Perfect
S quares
t o
a lways
r emember:
• When
y ou
s ee
“ exact”
i n
d irections,
l eave
i n
s implified
r adical
f orm
a nd
d o
N OT
r ound!
1. Check
t o
s ee
i f
i t
i s
a
P S.
I F
s o,
f ind
s quare
r oot.
2. IF
n ot,
f ind
t he
g reatest
P S
f actor.
3. Break
i t
u p.
4. Take
t he
s quare
r oot
o f
o nly
t he
P S,
l eave
t he
l eftover
u nder
t he
s quare
r oot.
75
98
Find
t he
e xact
v alue
o f
Find
t he
e xact
v alue
o f
.
.