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Using prime factorization method, find which of the following numbers are perfect squares ? 189, 225, 2048, 343, 441, 2916, 11025, 3549

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To determine which of the given numbers are perfect squares using the prime factorization method, we will follow these steps: ### Step-by-Step Solution: 1. **Factorize 189:** - Start dividing by the smallest prime number: - 189 ÷ 3 = 63 - 63 ÷ 3 = 21 ...
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RD SHARMA-SQUARES AND SQUARE ROOTS-All Questions
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  6. Find the greatest number of two digits which is a perfect square.

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

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

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

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  12. 635, 98, 122 are not perfect squares as they leave remainder 2 when ...

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

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

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

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

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

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

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

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