Question Find the largest number of 5 digits, which is perfect square A. 99999 B. 99764 C. 99976 D. 99856

To determine the largest 5-digit perfect square from the given options, let's analyze each choice: 1. **Option A: 99999** - The square root of 99999 is approximately 316.226. - \( 316^2 = 99856 \) and \( 317^2 = 100489 \). - 99999 is not a perfect square since it doesn't equal \( 316^2 \) or \( 317^2 \). 2. **Option B: 99764** - The square root of 99764 is between 315 and 316. - \( 315^2 = 99225 \) and \( 316^2 = 99856 \). - 99764 is not a perfect square. 3. **Option C: 99976** - The square root of 99976 is also between 316 and 317. - \( 316^2 = 99856 \) and \( 317^2 = 100489 \). - 99976 is not a perfect square. 4. **Option D: 99856** - Calculating the square: \[ 316^2 = 316 \times 316 = 99856 \] - 99856 is exactly \( 316^2 \), making it a perfect square. **Conclusion:** The largest 5-digit perfect square among the given options is **99856**. **Answer:** D. 99856