Write (T) for true and (F) for false for each of the statements given

1.	Write (T) for true and (F) for false for 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 squares is a perfect squares.(iv) The difference of two perfect squares is a perfect square.(v) The product of two perfect squares is a perfect squares.
Answer» (i) False Explanation: Because the number of digits present in perfect square also be odd. (ii) False Explanation: A prime number is one that is not divisible by any other, except by 1 and itself. So square of a prime number is not always prime. (iii) False Explanation: The sum of two perfect square can be any number. (iv) False Explanation: The difference of two perfect square can be any number. (v) True Explanation: According to the properties of perfect square we have, The product of two perfect squares is a perfect square.

Write (T) for true and (F) for false for 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 squares is a perfect squares.(iv) The difference of two perfect squares is a perfect square.(v) The product of two perfect squares is a perfect squares.

Answer»

(i) False

Explanation: Because the number of digits present in perfect square also be odd.

(ii) False

Explanation: A prime number is one that is not divisible by any other, except by 1 and itself. So square of a prime number is not always prime.

(iii) False

Explanation: The sum of two perfect square can be any number.

(iv) False

Explanation: The difference of two perfect square can be any number.

(v) True

Explanation: According to the properties of perfect square we have,

The product of two perfect squares is a perfect square.