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Which of the following is not a perfect ...

Which of the following is not a perfect square?

A

361

B

1156

C

1128

D

1681

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AI Generated Solution

The correct Answer is:
To determine which of the given options is not a perfect square, we will analyze each option step by step. ### Step-by-Step Solution: 1. **Identify the Options**: We have four numbers to consider: 361, 1156, 1681, and 1128. 2. **Check 361**: - Calculate the square root of 361. - \( \sqrt{361} = 19 \) - Since 19 is an integer, 361 is a perfect square. 3. **Check 1156**: - Calculate the square root of 1156. - \( \sqrt{1156} = 34 \) - Since 34 is an integer, 1156 is a perfect square. 4. **Check 1681**: - Calculate the square root of 1681. - \( \sqrt{1681} = 41 \) - Since 41 is an integer, 1681 is a perfect square. 5. **Check 1128**: - Calculate the square root of 1128. - \( \sqrt{1128} \approx 33.6 \) (not an integer) - Since the square root is not an integer, 1128 is not a perfect square. ### Conclusion: The number that is not a perfect square is **1128**. ---
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NCERT EXEMPLAR-SQUARE - SQUARE ROOT AND CUBE-CUBE ROOT-Exercise
  1. Which of the following is not a perfect square?

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  2. Write the Pythagorean triplet whose one of the numbers is 4.

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  3. Using prime factorisation, find the square roots of 11025

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  4. Using prime factorisation, find the square roots of 4761

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  5. Using prime factorisation, find the cube roots of 512

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  6. Using prime factorisation, find the cube roots of 2197

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  7. Is 176 a perfect square? If not, find the smallest number by which it ...

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  8. Is 9720 a perfect cube? If not, find the smallest number by which it s...

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  9. Write two Pythagorean triplets each having one of the numbers as 5.

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  10. By what smallest number should 216 be divided so that the quotient is ...

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  11. By what smallest number should 3600 be multiplied so that the quotient...

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  12. Find the square root of the following by long division method. 1369

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  13. Find the square root of the following by long division method. 5625

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  14. Find the square root of the following by long division method. 27.04

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  15. Find the square root of the following by long division method. 1.44

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  16. What is the least number that should be subtracted from 1385 to get a ...

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  17. What is the least number that should be added to 6200 to make it a per...

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  18. Find the least number of four digits which is a perfect square.

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  19. Find the greatest number of three digits which is a perfect square.

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  20. Find the least square number which is exactly divisible by 3, 4, 5, 6 ...

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  21. Find the length of the side of a square if the length of its diagonal ...

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