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Show that the following numbers are not ...

Show that the following numbers are not perfect squares: (I)9327                   (ii)    4058 (iii)22453                 (iv)   7443522

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To show that the given numbers are not perfect squares, we can check the last digit of each number. Perfect squares have specific last digits, and if the last digit of a number does not match any of these, then the number cannot be a perfect square. ### Step-by-Step Solution: 1. **Identify the last digits of perfect squares from 0 to 9:** - 0² = 0 (last digit 0) - 1² = 1 (last digit 1) - 2² = 4 (last digit 4) ...
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RD SHARMA-SQUARES AND SQUARE ROOTS-All Questions
  1. Using suitable patterns, compute the following : (I)(333^2)/(12321)=...

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

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

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

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

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  6. Observe the following pattern 1+3=2^2 1+3+5=3^2 1+3+5+7=4^2 and...

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  7. Observe the following pattern 2^2-1^2=2+1 3^2-2^2=3+2 4^2-3^2=4+3 ...

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  8. Which of the following triplets are Pythagorean? (I)(8,\ 15 , 17) ...

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  9. Observe the following pattern (1xx2)+(2xx3)=(2xx3xx4)/3, (1xx2)+(2xx3...

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  10. Observe the following pattern 1=1/2{1xx(1+1)}, 1+2=1/2{2xx(2+1)}, 1...

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  11. Observe the following pattern (i)1^2=1/6[1xx(1+1)xx(2xx1+1)], (ii)1^...

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  12. Which of the following square numbers are squares of even numbers ? ...

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  13. By just examining the units digits, can you tell which of the follow...

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  14. Write five numbers for which you cannot decide whether they are squa...

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  15. Write five numbers which you connot decide whether they are square ...

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  16. Find the square root of the following number by prime factorization....

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  17. Find the squares of the following numbers using column method. (I)25...

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  18. Find the squares of the following numbers using column method: (I)99...

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  19. Find the squares of the following numbers by visual method. (I)54   ...

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  20. Find the square of the following numbers by visual method: (I)205   ...

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