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Question

Write true (T) or false (F) for the following statements. (i) The number of digits in a square numbers 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 not square number between 50 and 60.

(viii) There are fourteen square number upto 200.


Solution

(i) False : In a square number, there is no condition of even or odd digits.

(ii) False : A square of a prime is not a prime.

(iii) False : It is not necessarily.

(iv) False : It is not necessarily.

(v) True.

(vi) True : A square is always positive.

(vii) True : As 72=49, and 82=64

(viii)  True : As squares upto 200 are 1, 4,9,16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196 whic are fourteen in numbers.

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