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.

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Solution

(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.

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Similar questions

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.

\sqrt{0.9} = 0.3

a

\sqrt{a}

a

a^{2}

p

q

\sqrt{\frac{p}{q}}

Pythagorean triplets are defined as the numbers in which the following relation holds true:

The sum of the squares of any two numbers is equal to the square of the third number. (
State true or false.

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