Question

If n is an integer, what is the possible value of n for which 1,116n is the square of an integer? Explain.

E. 24
F. 28
G. 31
H. 33

Answer 1

G.31

Explanation:

when n = 31

1116n = 1116*31 = 34596

34596 is square of 186.

= 186^2

= 34596

and other values (24,28,33) of n does not give square during 1,116n but 31 gives.

Hence, 31 is the possible value of n for which 1,116n is the square of an integer(186).