Question

Efetue as operações exercício 7 ??

Answer 1

a)
√3(√18 + √6) = √54 + √18 = 3√6 + 3√2 = 3(√6 + √2)

Resp.: 3(√6 + √2)
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54: 2
27: 3
9: 3
3: 3
1    =  2.3.3.3 = 2.3.9 = √6.√9 = 3√6

18: 2
9: 3
3: 3
1      =  9.2 = √9.√2 = 3√2

b)
(√10 - 2) . (√2 + √5) = √20 + √50 - 2√2 - 2√5
                             = 2√5 + 5√2 - 2√2 - 2√5
                             =  3√2

Resp.: 3 √2
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20: 2
10: 2
5: 5
1      =  √4.√5 = 2√5

50: 2
25: 5
5: 5
1       = √25.√2 = 5√2
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c)
(√6 - √3)² = (√6 - √3) . (√6 - √3) = 6 - √18 - √18 + 3 = 9 - 2√18
= 9 - 2√18
= 9 - 2.3√2
= 9 - 6√2

Resp.: 9 - 6√2 ou 3(3 - 2√2)

18: 2
9: 3
3: 3
1      = √9.√2 = 3√2
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d)
(2 + √10)² = (2 + √10).(2 +√10) = 4 + 2√10 + 2√10 + 10 = 14 + 4√10

Resp.: 14 + 4√10 ou 2(7 + 2 √10)