gente me ajudem aqui pfvr
Soluções para a tarefa
Resposta:
Explicação passo-a-passo:
1)
A)
7/ \/2 . \/2 / \/2 = 7\/2/2
__________
B)
5/ 8\/3 . \/3/ \/3
5\/3 / 8.3
5\/3/24
C)
1/ \/7 . \/7 / \/7 = \/7 / 7
D)
= 2 \/2 / \/6 . \/6 / \/6
= 2 \/2.\/6 / 6 (:2)/(:2)
= \/12/3
= \/4.\/3 / 3
= 2 \/3 / 3
E)
5
------
3
\/2
(X)
3
\/2
-------
3
\/2
=
* * 3
5 \/ 2
----------
2
____________
F)
1
------
5
7\/8
=
* 5
\/8
-------
7.8
=
5
\/8
------
56
-------------
2)
= 1/ \/2 + 1/ \/18 - 1/ \/8
= \/2/2 + \/18/8 - \/8/8
Mmc = 72
= (36\/2 + 9\/18 - 9\/8)/72
= (36\/2 + 9\/9\/2 - 9\/4\/2)/72
= (36\/2 + 9.3\/2 - 9.2.\/2)/72
= (36\/2 + 27\/2 - 18\/2)/72
= (36\/2 + 9\/2)/72
= 45\/2/72 (:9)
= 5\/2 / 8
R.: 5\/2/8
__________________
Obs.: contas
1 \/2 . \/2/ \/2 = \/2 / 2
1/\/18 . \/18/ \/18 = \/18 / 18
1/ \/8 . \/8 / \/8 = \/8/8
Mmc(2, 18, 8)
2,8,18: 2
1, 4, 9: 2
1, 2, 9: 2
1, 1, 9: 3
1, 1, 3: 3
1, 1, 1
= 2^3 . 3^2
= 8.9
= 72
_______
3)
= 15/ 4\/3 . \/3 / \/3
= 15\/3 / 4.3
= 15/3 . \/3/4
= 5\/3/4
R.: Multiplicar por \/3
4)
10
-----
3
\/5
* * * 3
= 10 \/ 5
--------------
5
R.: Multiplicar por
Raiz cúbica de 5
3
\/5
________
5)
A)
= 1 / (1+ \/3) . (1-\/3)/(1-\/3)
= (1-\/3)/ (1+\/3).(1-\/3)
= (1+\/3)/(1 - \/3 + \/3 - 3)
= (1+ \/3)/ (-2)
= ( - 1 - \/3)/2
B)
= 3/(5 - \/7). (5+\/7)/(5+\/7)
= 3.(5+\/7)/(5-\/7).(5+\/7)
= 3.(5+\/7)/(25+5\/7-5\/7-7)
= 3.(5+\/7)/18 (:3)/(:3)
= (5+\/7)/6
C)
4\/3 / (\/2 + \/3) . (\/2 - \/3)/(\/2 - \/3)
=4\/3.(\/2-\/3)/(\/2+\/3).(\/2-\/3)
= 4\/3.(\/2-\/3)/(2 -\/6+\/6-3)
= (4\/6 - 4.3)/(-1)
= (4\/6 - 12)/(-1)
= - 4\/6 + 12
____________
D)
= (\/2 - 1)/(2 - \/2) . (2+\/2)/(2+\/2)
= (\/2 - 1).(2+\/2) / (2-\/2).(2+\/2)
= (2\/2 + 2 - 2 - \/2) / (4+2\/2-2\/2-2)
= \/2/2