Q.1 How many natural numbers lie between 9^{2} and 10^{2} ? Between 11^{2} and 12^{2} ?

Answers (1)

In general, we can say that there are 2n non-perfect square numbers between the squares of the numbers n and (n + 1). 

Thus between squares of 9 and 10, the number of natural numbers is 2(9) = 18

Similarly, between squares of 11 and 12, the number of natural numbers is 2(11) = 22

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