What is the least number that must be added to 1901 so that the sum may be a perfect square is

Options

A. 35
B. 32
C. 30
D. 29

Answer

To find the least number that must be added to 1901 so that the sum becomes a perfect square, we can follow these steps:

### Step 1: Identify the nearest perfect square
First, we need to identify the perfect squares that are close to 1901. The perfect squares are obtained by squaring whole numbers.

- The square of 43 is \(43^2 = 1849\).
- The square of 44 is \(44^2 = 1936\).

Since 1901 is between 1849 and 1936, we will consider the next perfect square, which is 1936.

### Step 2: Calculate the difference
Next, we calculate the difference between 1936 and 1901 to find out how much we need to add.

\[ 1936 - 1901 = 35 \]

### Step 3: Conclusion
Thus, the least number that must be added to 1901 to make it a perfect square is **35**.

### Final Answer
The least number that must be added to 1901 so that the sum may be a perfect square is **35**.

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