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The following numbers are not perfect sq...

The following numbers are not perfect squares. Give reason. (I)1057             (ii)  23453      (iii)  7928   (iv)   222222

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AI Generated Solution

To determine why the given numbers are not perfect squares, we can analyze the unit's place (the last digit) of each number. There is a property of perfect squares that states that the last digit of a perfect square can only be 0, 1, 4, 5, 6, or 9. If a number ends with 2, 3, 7, or 8, it cannot be a perfect square. Let's examine each number step by step: ### Step-by-Step Solution: 1. **Check the last digit of 1057:** - The last digit is 7. ...
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RD SHARMA-SQUARES AND SQUARE ROOTS-All Questions
  1. (3,4,5),\ (5, 12 , 13),\ (8, 15 ,\ 17) etc. are Pythagorean triplets, ...

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  2. Write a Pythagorean triplet whose one member is : (I)6             ...

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  3. The following numbers are not perfect squares. Give reason. (I)1057 ...

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  4. What will be the units digit of the squares of the following numbers...

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  5. Which of the following end with digit 1 ? 123^2,\ 77^2,\ 82^2,\ 161^2...

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  6. Determine whether squares of the following numbers are even or odd. ...

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  7. The following numbers are not perfect squares. Given reason. (I)640...

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  8. write a Pythagorean triplet whose one member is (I)14             ...

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  9. Without adding, find the sum: i) 1+3+5+7+9\ ii) \ 1+3+5+7+9+11+13...

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  10. Express: 49 as the sum of 7 0dd natural numbers. 121 as the sum of 1...

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  11. How many natural numbers lie between squares of the following natura...

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  12. Express each of the following as the sum of two consecutive natural ...

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  13. Find whether 55 is a perfect square or not?

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  14. Observe the following pattern and find the missing digits: 11^2=12...

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  15. Observe the following pattern and supply the missing numbers.

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  16. Using the given pattern, find the missing numbers: 1^2+2^2+2^2=3^2 ...

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  17. Using suitable patterns, compute the following : (I)(333^2)/(12321)=...

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  18. The following numbers are not perfect squares. Give reason. (I)1547...

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  19. Show that the following numbers are not perfect squares: (I)9327    ...

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  20. The square of which of the following numbers would be an odd numbers...

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