What is the least number to be subtracted from 3262 to make it a perfect square ?
वह कौन-सी सबसे छोटी संख्या 3262 में से घटायी जाये कि वह पूर्ण वर्ग बन जाये?

Options

A. 65
B. 26
C. 13
D. 15

Explanation

To find the least number to be subtracted from 3262 to make it a perfect square, we can follow these steps:

### Step 1: Identify the nearest perfect square
First, we need to find the square root of 3262 to determine the nearest perfect square.

\[ \sqrt{3262} \approx 57.1 \]

### Step 2: Find the nearest whole number
The nearest whole numbers to 57.1 are 57 and 58. We will calculate the squares of both these numbers.

\[ 57^2 = 3249 \]
\[ 58^2 = 3364 \]

### Step 3: Compare the perfect squares with 3262
Now, we compare 3262 with the two perfect squares we calculated:

- \( 57^2 = 3249 \)
- \( 58^2 = 3364 \)

### Step 4: Determine which perfect square is less than 3262
Since 3249 is less than 3262, we will consider this perfect square.

### Step 5: Calculate the difference
Now, we subtract 3249 from 3262 to find the least number that needs to be subtracted:

\[ 3262 - 3249 = 13 \]

### Conclusion
Thus, the least number to be subtracted from 3262 to make it a perfect square is **13**.

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