Plz solve and send solution with explanation as soon as possible. Pl try and show all steps

The answer to your question is option (A)

In the question, we see the flow of similar pattern of numbers ie- 4, 4² =16, 16²=256 and so on

so to solve lets begin with the last number we have ie-65536 and as per the pattern the next number after it will be the square to this number so let us think that is no number after that (assumption to take the round figure) so taking it out of root we get twice of the previous number that is 65536 so now when we add we get two times of the number now applying square to it

 

                root(2 * 65536) = 256 * root 2 = 362

now as it has come out of the root we will add it to next number ie 256 + 362 = 618

now root of 618 = 24.8

this we will add to 16 and take their root we get 

                             root(16 + 24.8) = root (40.8) = 6.387

we will now add this to the next number ie-4 and then take the root of the sum

                             root(4 + 6.387) = root(10.387) = 3.22       --------- this is the answer

 

now when we see the available solution option (a)1 + root 5   matches

1 + root 5 = 1 + 2.23 = 3.23

hence the answer is option (a) 1 + root 5