Question

find the next term of the series √2,√8√18,√32,.......

Answer 1

√2 , √8 , √18 , √32 , .....

Here you can see that,
√8 = √{2 × 2 × 2 } = 2√2
√18 = √{3 × 3 × 2 } = 3 √2
√32 = √{4 × 4 × 2} = 4√2

e.g., √2, 2√2, 3√2, 4√2....
now easily you can say that next term will be 5√2 = √{5 × 5 × 2} = √50

hence, next term = √50

Answer 2

Next term will be√50 or as a 5√2 . for describe the common differention will be√2 and after adding with√32 or in 4√2.