Question

resolva a expressao √2+√3·√18 e igual a :
a)√56
b)√108
c)√6+6
d)√2 (1+3√3)

Answer 1

√2+√3.√18=√2+√3.√2.9=√2+√3.3.√2=√2+3.√3.√2=√2.(1+3√3)   letra D

Answer 2

√2 + √3 . √18

√2 + √3 . 18

√2 + √54

Fatorar 54 em fatores primos:

54 | 2

27 | 3

9 | 3

3 | 3

1 | == 2 . 3³

===

√2 + √2.3³

√2 + √2 . 3² . 3

√2 + 3√2 . 3

=> √2 + 3√6