Question

Calcule





a) v/4




b)v/49





c) v/64




d) v/121




e) v/144




f) v/225

Answer 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

Answer 2

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