Question

Write true (T) or false (F) for the following statements and give reason.
(i) The number of digits in a square of any number is even.
(ii) The square of the prime number is prime.
(iii) The product of two square numbers is a square number.

Answer 1

(i) False, Because 225,169,361….are a square numbers with an odd no.of digits.
(ii) False, Square of any prime number gives a composite number. Ex: $3^2=9$.
(iii) True, Because the square of $2^2=4$ & $3^2=9$ and the product is 36 which is square of 6.