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Which of the follwing numbers is not a p...

Which of the follwing numbers is not a perfect square ?

A

1444

B

3136

C

961

D

2222

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the following numbers is not a perfect square, we will analyze each option and check their unit digits. ### Step-by-Step Solution: 1. **List the Options**: - Option 1: 1, 4, 4 - Option 2: 3, 1, 3, 6 - Option 3: 9, 6, 1 - Option 4: 2, 2, 2, 2 2. **Understand Perfect Squares**: - A perfect square is a number that can be expressed as the square of an integer. The unit digits of perfect squares can only be 0, 1, 4, 5, 6, or 9. 3. **Check Unit Digits**: - **Option 1**: The unit digits are 1 and 4. Both are perfect square unit digits. - **Option 2**: The unit digits are 3 and 6. The digit 6 can be a unit digit of a perfect square (like 6² = 36), but 3 cannot. - **Option 3**: The unit digits are 9 and 1. Both are perfect square unit digits. - **Option 4**: The unit digits are all 2. The digit 2 cannot be a unit digit of any perfect square. 4. **Conclusion**: - Since option 4 contains the digit 2, which cannot be a unit digit of any perfect square, we conclude that **option 4 (2, 2, 2, 2) is not a perfect square**. ### Final Answer: **Option 4: 2, 2, 2, 2 is not a perfect square.** ---
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