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Find the smallest number by which 4851 m...

Find the smallest number by which 4851 must be multiplied so that the product becomes a perfect square.

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To find the smallest number by which 4851 must be multiplied to make it a perfect square, we can follow these steps: ### Step 1: Prime Factorization of 4851 We start by finding the prime factors of 4851. 1. Divide 4851 by 3 (the smallest prime number): \[ 4851 \div 3 = 1617 ...
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RD SHARMA-SQUARES AND SQUARE ROOTS-All Questions
  1. Find the greatest number of two digits which is a perfect square.

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  2. Find the least number of three digits which is perfect square.

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  3. Find the smallest number by which 4851 must be multiplied so that th...

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  4. Find the smallest number by which 28812 must be divided so that the ...

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  5. Find the smallest number by which 1152 must be divided so that it be...

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  6. None of the numbers 152, 7693, 14357, 88888, 798328 is a perfect sq...

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  7. 635, 98, 122 are not perfect squares as they leave remainder 2 when ...

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  8. 67,  146, 363, 10003 are not perfect squares as they leave remainder...

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

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  10. (3,4,5),\ (5, 12 , 13),\ (8, 15 ,\ 17) etc. are Pythagorean triplets, ...

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

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

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

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

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

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

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

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

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

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

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