Find the least number which must be subtracted from the following numbers to make them a perfect square : (i) 2361(ii)194491

Explanation

To find the least number that must be subtracted from the given numbers to make them perfect squares, we will use the long division method for square roots. Let's solve the two parts of the question step by step.

### Part (i): Find the least number to subtract from 2361

1. **Pair the digits**: Start from the right and pair the digits of the number 2361. We have (23)(61).

2. **Find the largest square**: Find the largest square less than or equal to the first pair (23). The largest perfect square is \(4^2 = 16\) (since \(5^2 = 25\) is greater than 23).

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