Resposta:
a)22 / b)60 / c)33
e)42 / f)18 / g)44
i)300 / j)27 / k)38
A) (484)1/2. Assim,
(484)1/2 = (22 × 22)1/2
(484)1/2 = [(22)2]1/2
(484)1/2 = (22)2/2
(484)1/2 = (22)1
Logo,
√484 = 22
B) (3,600)1/2. Assim,
(3,600)1/2 = (1,89736659610103 × 1,89736659610103)1/2
(3,600)1/2 = [(1,89736659610103)2]1/2
(3,600)1/2 = (1,89736659610103)2/2
(3,600)1/2 = (1,89736659610103)1
√3,600 = 1,89736659610103
C) (1089)1/2. Assim,
(1089)1/2 = (33 × 33)1/2
(1089)1/2 = [(33)2]1/2
(1089)1/2 = (33)2/2
(1089)1/2 = (33)1
√1089 = 33
E) (1764)1/2. Assim,
(1764)1/2 = (42 × 42)1/2
(1764)1/2 = [(42)2]1/2
(1764)1/2 = (42)2/2
(1764)1/2 = (42)1
√1764 = 42
F) (324)1/2. Assim,
(324)1/2 = (18 × 18)1/2
(324)1/2 = [(18)2]1/2
(324)1/2 = (18)2/2
(324)1/2 = (18)1
√324 = 18
G) (1936)1/2. Assim,
(1936)1/2 = (44 × 44)1/2
(1936)1/2 = [(44)2]1/2
(1936)1/2 = (44)2/2
(1936)1/2 = (44)1
√1936 = 44
I) (90,000)1/2. Assim,
(90,000)1/2 = (9,48683298050514 × 9,48683298050514)1/2
(90,000)1/2 = [(9,48683298050514)2]1/2
(90,000)1/2 = (9,48683298050514)2/2
(90,000)1/2 = (9,48683298050514)1
√90,000 = 9,48683298050514
J) (729)1/2. Assim,
(729)1/2 = (27 × 27)1/2
(729)1/2 = [(27)2]1/2
(729)1/2 = (27)2/2
(729)1/2 = (27)1
√729 = 27
K) (1444)1/2. Assim,
(1444)1/2 = (38 × 38)1/2
(1444)1/2 = [(38)2]1/2
(1444)1/2 = (38)2/2
(1444)1/2 = (38)1
√1444 = 38
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Resposta:
a)22 / b)60 / c)33
e)42 / f)18 / g)44
i)300 / j)27 / k)38
Resposta:
A) (484)1/2. Assim,
(484)1/2 = (22 × 22)1/2
(484)1/2 = [(22)2]1/2
(484)1/2 = (22)2/2
(484)1/2 = (22)1
Logo,
√484 = 22
B) (3,600)1/2. Assim,
(3,600)1/2 = (1,89736659610103 × 1,89736659610103)1/2
(3,600)1/2 = [(1,89736659610103)2]1/2
(3,600)1/2 = (1,89736659610103)2/2
(3,600)1/2 = (1,89736659610103)1
Logo,
√3,600 = 1,89736659610103
C) (1089)1/2. Assim,
(1089)1/2 = (33 × 33)1/2
(1089)1/2 = [(33)2]1/2
(1089)1/2 = (33)2/2
(1089)1/2 = (33)1
Logo,
√1089 = 33
E) (1764)1/2. Assim,
(1764)1/2 = (42 × 42)1/2
(1764)1/2 = [(42)2]1/2
(1764)1/2 = (42)2/2
(1764)1/2 = (42)1
Logo,
√1764 = 42
F) (324)1/2. Assim,
(324)1/2 = (18 × 18)1/2
(324)1/2 = [(18)2]1/2
(324)1/2 = (18)2/2
(324)1/2 = (18)1
Logo,
√324 = 18
G) (1936)1/2. Assim,
(1936)1/2 = (44 × 44)1/2
(1936)1/2 = [(44)2]1/2
(1936)1/2 = (44)2/2
(1936)1/2 = (44)1
Logo,
√1936 = 44
I) (90,000)1/2. Assim,
(90,000)1/2 = (9,48683298050514 × 9,48683298050514)1/2
(90,000)1/2 = [(9,48683298050514)2]1/2
(90,000)1/2 = (9,48683298050514)2/2
(90,000)1/2 = (9,48683298050514)1
Logo,
√90,000 = 9,48683298050514
J) (729)1/2. Assim,
(729)1/2 = (27 × 27)1/2
(729)1/2 = [(27)2]1/2
(729)1/2 = (27)2/2
(729)1/2 = (27)1
Logo,
√729 = 27
K) (1444)1/2. Assim,
(1444)1/2 = (38 × 38)1/2
(1444)1/2 = [(38)2]1/2
(1444)1/2 = (38)2/2
(1444)1/2 = (38)1
Logo,
√1444 = 38