Question

√54 + √6 - √150 +2 √24

Answer 1

√54 + √6 - √150 + 2√24
3√6 + √6 - 5√6 + 2.2√6
4√6 - 5√6 + 4√6
8√6 - 5√6
= 3√6

Resp.: 3√6
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Decomposição de cada número:

54: 2
27: 3
9: 3
3:3
1    =  3.3.3.2 = 3².6 = 9.6 = √9.√6 = 3√6

6:2
3: 3
1      = 2.3 = √6

150: 2
75: 3
25: 5
5: 5
1      =  5.5.2.3 = 25.6 = √25.6 = 5√6

24: 2
12: 2
6: 2
3: 3
1     = 2.2.2.3 = 4.6 = √4.√6 = 2√6