The least number to be added to make 269 a perfect square is

Options

A. a)31
B. b)16
C. c)7
D. d)20

Answer

To find the least number that needs to be added to 269 to make it a perfect square, we can follow these steps:

### Step 1: Identify the nearest perfect squares around 269.
The perfect squares we need to consider are:
- \(15^2 = 225\)
- \(16^2 = 256\)
- \(17^2 = 289\)

### Step 2: Determine the next perfect square greater than 269.
Among the perfect squares identified, the next perfect square greater than 269 is \(17^2 = 289\).

### Step 3: Calculate the difference between 289 and 269.
To find the least number to be added:
\[ 289 - 269 = 20 \]

### Step 4: Conclusion
Thus, the least number that needs to be added to 269 to make it a perfect square is **20**.