How many numbers lie between squares of the following numbers?

99 and 100

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Solution

Since, non-perfect Square numbers between $n^{2}$ and $(n + 1)^{2}$ are 2n.

Here, n = 99

Therefore, non-perfect square numbers between 99 and 100
$= 2 n = 2 \times 99 = 198$

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Question 9 (iii)
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