Write true (T) or false (F) for the following statements.
(i) The number of digits in a square number is even.
(ii) The square of a prime number is prime
(iii) The sum of two square numbers is a square number.
(iv) The difference of two square numbers is a square number.
(v) The product of two square numbers is a square number.
(vi) No square number is negative.
(vii) There is no square number between 50 and 56.
(viii) There are fourteen square number upto 200.
(i) False: Because 169 is square number with odd digit
(ii) False: Square of 3 (Prime) is 9 (not prime)
(iii) False: Sum of 22 and 32 is 13 which is not square number
(iv) False: Difference of 32 and 22 is 5, which is not square number
(v) True: Because the square of 22 and 32 is 36 which is square of 6
(vi) True: As (-2)2 is 4, i.e. not negative
(vii) True: As there is no square number between them
(viii) True: The fourteen numbers upto 200 are: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196