Racionalize
A) 3/√2
B)√8/√5
C)8√7/5√2
D)15/³√7²
É)18/⁴√6
F)1/4³√2
Soluções para a tarefa
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a) √8 / √5
√8 √5 = √40 = √4 .√10 = 2√10------ ------- ------------ -----------√5 √5 5 5 5
b)8√7/ 5√2
8√7 √2 = 8√14 = 8√14 (:2) = 4√14-------- ----------- --------- --------- 5√2 √2 5.2 10 (:2) 5
c)15/ ∛7²
15 15 ∛49 15∛49--------- --------- ------ = ----------- ∛7² ∛49 ∛49 49
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨d) 18/⁴√6
18 ⁴√6 = 18 ⁴√6---- ------- ---------- = 3 ⁴√6⁴√6 ⁴√6 6
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨e) 1/4∛2
1 ∛2 = ∛2 = ∛2--------- ------ ------- ------- 4∛2 ∛2 4.2 8
nao sei se esta certo : (
√8 √5 = √40 = √4 .√10 = 2√10------ ------- ------------ -----------√5 √5 5 5 5
b)8√7/ 5√2
8√7 √2 = 8√14 = 8√14 (:2) = 4√14-------- ----------- --------- --------- 5√2 √2 5.2 10 (:2) 5
c)15/ ∛7²
15 15 ∛49 15∛49--------- --------- ------ = ----------- ∛7² ∛49 ∛49 49
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨d) 18/⁴√6
18 ⁴√6 = 18 ⁴√6---- ------- ---------- = 3 ⁴√6⁴√6 ⁴√6 6
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨e) 1/4∛2
1 ∛2 = ∛2 = ∛2--------- ------ ------- ------- 4∛2 ∛2 4.2 8
nao sei se esta certo : (
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