1. Racionalize o denominador das frações.
3/√2
1/√5
5/√14
12/√6
√12/√7
√3/8
Soluções para a tarefa
Resposta:
a)
3/√2 .√2/√2 = 3√2/2
3 √2 = 3√2
------ --------
√2 √2 2
************************************
b) 1/√5 . √5/√5 = √5/5
1 √5 = √5
------ -------
√5 √5 5
***************************************
c)
= 5/√14 .√14/√14 = 5√14/14
5 √14 = 5√14
------- ----------
√14 √14 14
**********************************************
d) 12/√6 .√6/√6 = 12√6/6 = 2√6
12 √6 = 12√6 = 2√6
----- ---------
√6 √6 6
*************************************
e)
√12/√7 . √7/√7 = √84/7 = √4.√21/7 = 2√21/7
√12 √7 = √(12.7) = √84 = √4.√21 = 2√21
-------- ----------- -------- ------------ ---------
√7 √7 7 7 7 7
84: 2
42: 2
21: 3
7: 7
----------
1 = 2².3.7 = √2².√3.√7 = 2.√21
***********************************************
f) √3/√8 . √8/√8 = √24/8 = √4.√6/8 = 2√6/8 = √6/4
√3 √8 = √24 = √4.√6 = 2√6 (:2) = √6
------ ------- ---------- ------- ------
√8 √8 8 8 8 (:2) 4
24: 2
12: 2
6: 2
3: 3
----------
1 = √2².√2.√3 = 2√6
Explicação passo-a-passo:
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