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By what number should each of the follow...

By what number should each of the following numbers be multiplied to get a perfect square in each case ? Also, find the number whose square is the new number. (i)605(iv)2880

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RD SHARMA ENGLISH-SQUARES AND SQUARE ROOTS-All Questions
  1. Which of the following numbers are perfect squares ? 11, 12, 16, 32, 3...

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  2. Using prime factorization method, find which of the following numbe...

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  3. By what number should each of the following numbers be multiplied to...

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  4. By what numbers should each of the following be divided to get a per...

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  5. Find the greatest number of two digits which is a perfect square.

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

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  7. Find the smallest number by which 4851 must be multiplied so that t...

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

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

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  10. Explain why none of the numbers out of following is a perfect square. ...

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  11. 635, 98, 122 are not perfect squares as they leave remainder 2 when...

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  12. 67,  146, 363, 10003 are not perfect squares as they leave remainde...

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

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  14. (3,4,5),\ (5, 12 , 13),\ (8, 15 ,\ 17) etc. are Pythagorean triplets, ...

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

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

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

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

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

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

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