The largest number of five digits , which is perfect square is

Options

A. 99999
B. 99976
C. 99856
D. 99764

Answer

To find the largest five-digit number that is a perfect square, we can follow these steps:

### Step 1: Identify the largest five-digit number
The largest five-digit number is 99999.

### Step 2: Find the square root of the largest five-digit number
To find the largest perfect square, we need to take the square root of 99999.

\[ \sqrt{99999} \approx 316.227 \]

### Step 3: Round down to the nearest whole number
Since we are looking for a perfect square, we round down to the nearest whole number, which is 316.

### Step 4: Calculate the perfect square
Now, we square 316 to find the largest five-digit perfect square.

\[ 316^2 = 99856 \]

### Step 5: Verify if it is a five-digit number
99856 is indeed a five-digit number.

### Conclusion
Thus, the largest five-digit number that is a perfect square is **99856**.

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