Find the least number which must be added to each of the following numbers so as to get a perfect square. Also find the square root of the perfect square so obtained.(i) 525                  (ii) 1750                      (iii) 252               (iv) 1825(v) 6412

Explanation

To solve the problem of finding the least number that must be added to each of the given numbers to make them perfect squares, we will use the long division method to find the nearest perfect square greater than each number. We will also find the square root of the resulting perfect square.

Let's break it down step by step for each number.

### (i) For 525:

1. **Pair the digits**: Start from the right, pair the digits of 525. We have (5)(25).
2. **Find the largest perfect square less than or equal to 5**: The largest perfect square is 4 (which is \(2^2\)).
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