OPERAÇÕES COM RADICAIS
Data: ____/____/2016
1) RESOLVA: a)
49
b)
144
c)
5
d)
10
9
e)
3
18
2
+
______ + ______ ______ = ______
=
___ x ___ + ___ x ___ = ______ + ______ = _______ _______
169
3
4 2
2
+
=
81
−
+
2
______ + ______ ______ = ______
16
+
=
3
−
_____________ _____________
2
=
________ + ____ ____ x _______ = ________ + ________ ________ = ________ ________
50
=
2) EFETUE: a) b)
3
5
+
5 3
+
2
5
+
2
3
−
2
5
3
c)
4
d)
2
e)
50
f)
2
g)
4
h)
63
+
5
3
−
3
+
3
−
5
5
2
5
=
3
_____________ _____________
+
5
3
_______________________ _________________________ __
=
__________
=
+
3
3
−
8
12
=
7
75
6
−
5
18
+
27
12
5
+
3
3
_______________________ ________________________ _
=
________+________-________ ________+________-________ = ________
=
_____x________+_____x____ _____x________+_____x________ ____ = _______+_______=_____ _______+_______=________ ___
_____x________-_________ _____x________-__________ _ = _______-_______=________ _______-_______=________
=
+
108
__________+__________+____ __________+__________+__________ ______ = __________ __________
=
BOA ATIVIA!" 3)!#c$#%&e $ 'e&(e%&$ da* fg,&a* c,.a* edda* de *e,* /ad$* *0$ dada* #,a e*a ,#dade de edda de c$'&e#%$ a) 2
b) 3
8
3
3
32
18
2)Multiplicação com radicais
- a&a ,/%'/ca& &adca* de e*$ (#dce de4e$* c$#*e&4a& $ (#dce e ,/%'/ca& $* &adca#d$* *'/fca#d$ *e'&e ,e '$**(4e/ $ &e*,/%ad$ $b%d$ a&a efe%,a& e**a $'e&a60$ ,%/7a$* a 38 '&$'&edade n
a ⋅b
=
n
a
⋅
n
b
!xe'/$* a) 5 ⋅ 2 = b) c)
4
2
⋅
2
⋅
4
8
=
7
+
(
2
)
=
!xe&c(c$* 1)!fe%,e a* ,/%'/ca69e* a) 3 5 ⋅ 3 6 =
b)
c)
2
⋅
d)
e)
5
⋅
6
(1
3
⋅
5
+
=
)
f)
=
3
(3
2
⋅
4
⋅
2
3
8
=
6
=
−
2
) (
2
⋅
+
)
3
=
2):a/c,/e a ;&ea e $ 'e&(e%&$ da* fg,&a* c,.a* edda* #dcada* *0$ dada* #,a e*a ,#dade de edda de c$'&e#%$ a) b) 2 2
3
1+
15
15
2
2
3
2
3) Divisão com radicais
- a&a d4d& &adca* de e*$ (#dce de4e$* c$#*e&4a& $ (#dce e d4d& $* &adca#d$* *'/fca#d$ *e'&e ,e '$**(4e/ $ &e*,/%ad$ $b%d$ !xe'/$* a) 3 20 ÷ 3 10 b) c)
28
30
÷
15
7
÷
=
=
5
3
=
!xe&c(c$* 1)!fe%,e a* d4*9e* a) 12 ÷ 3 =
b)
50
÷
2
=
3
49
c)
d)
=
25
12
3
3
6 =
2
2):a/c,/e $ 4a/$& da* ex'&e**9e* a) ( 18 + 98 + 200 ) ÷ ( 2 2 + 8 ) b)
(10
27
+ 10
3
)
c)
20
10
+ 10
18
÷ 10
3
2
2
÷
4) Potenciação com radicais
- a&a e/e4a& , &adca/ a ,a '$%<#ca c$#*e&4a$* $ (#dce d$ &adca/ e e/e4a$* $ &adca#d$ '$%<#ca #dcada !xe'/$* a) ( 2 ) = 2
b)
( 9)
c)
(4
d)
(
3
2
=
5
2
)
3
=
3
+
)
2
=
!xe&c(c$* 1):a/c,/e a* '$%<#ca* a) ( 15 ) = 2
c)
(
7
3
+
)
b)
(3
d)
(3
2
=
2):a/c,/e $ 4a/$& da ex'&e**0$
A = x
4
+
x
2
+
2 'a&a
x =
7
)
=
7
−
3
2
)
2
=
5) Radiciação com radicais: - a&a ex%&a& a &a7 de , &adca/ de4e$* ,/%'/ca& $* (#dce* de**e* &adca* e c$#*e&4a& $ &adca#d$ *'/fca#d$ $ &adca/ $b%d$ *e'&e ,e '$**(4e/ > c$#*de&a#d$ $ &adca#d$ , #?e&$ &ea/ '$*%4$ e $* (#dce* #?e&$* #a%,&a* #0$-#,/$*)
!xe'/$* a)
3
b) c)
7
3
4
2
=
5
2
3
5
=
=
!xe&c(c$* 1)@ed,7a a , ?#c$ &adca/ a) 10
b)
c)
d)
=
3
3
=
3
3
2
=
3
=
2)@ed,7a a , ?#c$ &adca/ e e *eg,da *'/f,e *e '$**(4e/ a) b) = 15 5 = 6
c)
3
3
2
2
4
4
=
d)
4
3
5
=