How many numbers lie between squares of the following numbers?
(i) 12 and 13               (ii) 25 and 26            (iii) 99 and 100

Explanation

To find how many numbers lie between the squares of the given numbers, we can use the formula \(2n\), where \(n\) is the smaller number in each pair. Let's solve each part step by step.

### Step-by-Step Solution:

(i) **For the numbers 12 and 13:**
1. Identify \(n\): Here, \(n = 12\).
2. Calculate the number of integers between \(12^2\) and \(13^2\):
\[
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