Calcule
a) v/4
b)v/49
c) v/64
d) v/121
e) v/144
f) v/225
Soluções para a tarefa
Respondido por
1
Vou fazer todas por decomposição:
√4 =
4 2
2 2
1
√4 =
√2² = (potencia anula raiz)
2
______________________________________________
√49 =
49/7
7/7
1
√49 =
√7² =
7
______________________________________________
√64 =
64 2
32 2
16 2
8 2
4 2
2 2
1
√64 =
√2².2².2² =
2.2.2 = 8
__________________________________________________
√121 =
121 11
11 11
1
√121 =
√11² =
11
_______________________________________________
√144
144 2
72 2
36 2
18 2
9 3
3 3
1
√144 =
√2².2².3² =
2.2.3 = 12
______________________________________________________
√225
225 3
75 3
25 5
5 5
1
√225 =
√3².5² =
3.5 = 15
Bons estudos
√4 =
4 2
2 2
1
√4 =
√2² = (potencia anula raiz)
2
______________________________________________
√49 =
49/7
7/7
1
√49 =
√7² =
7
______________________________________________
√64 =
64 2
32 2
16 2
8 2
4 2
2 2
1
√64 =
√2².2².2² =
2.2.2 = 8
__________________________________________________
√121 =
121 11
11 11
1
√121 =
√11² =
11
_______________________________________________
√144
144 2
72 2
36 2
18 2
9 3
3 3
1
√144 =
√2².2².3² =
2.2.3 = 12
______________________________________________________
√225
225 3
75 3
25 5
5 5
1
√225 =
√3².5² =
3.5 = 15
Bons estudos
Respondido por
6
a) √4 = √2² = 2
4: 2
2: 2
-----------------
1 = 2² = √2² = 2
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
b) √49 = √7² = 7
49: 7
7: 7
-------------
1 = 7² = √7² = 7
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
c) √64 = √8² = 8
64: 2
32: 2
16: 2
8: 2
4: 2
2: 2
------------
1 = 2⁶ = √2².√2².√2² = 2.2.2 = 8
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
d) √121 = √11² = 11
121: 11
11: 11
------------------
1 = 11²
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
e) √144 = √12² = 12
144: 2
72: 2
36: 2
18: 2
9: 3
3: 3
-----------
1 = 2⁴.3² = √16.√9 = 4.3 = 12
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
f) √225 = 15
225: 3
75: 3
25: 5
5: 5
--------------
1 = 3².5² = √3².√5² = 3.5 = 15
4: 2
2: 2
-----------------
1 = 2² = √2² = 2
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
b) √49 = √7² = 7
49: 7
7: 7
-------------
1 = 7² = √7² = 7
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
c) √64 = √8² = 8
64: 2
32: 2
16: 2
8: 2
4: 2
2: 2
------------
1 = 2⁶ = √2².√2².√2² = 2.2.2 = 8
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
d) √121 = √11² = 11
121: 11
11: 11
------------------
1 = 11²
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
e) √144 = √12² = 12
144: 2
72: 2
36: 2
18: 2
9: 3
3: 3
-----------
1 = 2⁴.3² = √16.√9 = 4.3 = 12
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
f) √225 = 15
225: 3
75: 3
25: 5
5: 5
--------------
1 = 3².5² = √3².√5² = 3.5 = 15
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