The square root of the number 5476 is:

74

Unit digit of square root of 5476 is either 4 or 6.

Now, consider first two digits i.e. 54

it lies b/w square of 7 and 8 i.e. 49 & 64

As, 54 is bigger than 49 so, possible values are

either 74 or 76

Now, 75² = 5625  but 5476 is smaller than this . So,

\(\sqrt {5476 }\) = 74

The correct answer is Option (1) → 74