Write (T) for true and (F) for false foe each of the statements given below:
(i) The number of digits in a perfect square is even.
(ii) The square of a prime number is prime.
(iii) The sum of two perfect square is a perfect square.
(iv) The difference of two perfect squares is a perfect square.
(v) The product of two perfect squares in a perfect square.

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Solution

(i) False: No. of digits of a perfect square can be even or odd.
(ii) False: Square of a prime number is not a prime number
(iii) False: It is not always possible.
(iv) False: It is not always possible.
(v) True: Product of two squares os always a perfect square.

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(i) False: No. of digits of a perfect square can be even or odd. (ii) False: Square of a prime number is not a prime number (iii) False: It is not always possible. (iv) False: It is not always possible. (v) True: Product of two squares os always a perfect square.

(i) False: No. of digits of a perfect square can be even or odd.
(ii) False: Square of a prime number is not a prime number
(iii) False: It is not always possible.
(iv) False: It is not always possible.
(v) True: Product of two squares os always a perfect square.