576
(i) Unit place digit in 576 is 6. So the given number is a perfect square.
(ii) Sum of digits = 5 + 7 + 6 = 18 which is not perfect square.
(iii) Square root of this number will have 2 digits.
(iv) On making the pairs of 2 – 2 from right to left, second pair has only one digit 5, therefore tens place digit of square root will be 2.
(v) Extreme digits of number will be 2.
So the extreme digit of its square root will be either 2 or 8 and extreme digit for tens place is 5 which is in between 4 – 8, therefore tens place digits in square root will be 2.
∴ Square root of 576 may be either 24 or 28.
Perfect square root will be 24.
Hence square root = 24