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What can you say about the prime factori...

What can you say about the prime factorisations of the denominators of the following rationals:

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RD SHARMA ENGLISH-REAL NUMBERS-All Questions
  1. Use Euclid’s division algorithm to find the HCF of 210 and 55.

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  2. If n is a natural number, then 9^(2n)-4^(2n) is always divisible by (a...

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  3. What can you say about the prime factorisations of the denominators of...

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  4. If p1a n dp2 are two odd prime numbers such that p1> p2, then p1 2-p2 ...

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  5. There is a circular path around a sports field. Priya takes 18 minutes...

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  6. A rectangular courtyard is 18m 72cm long and 13m 20cm broad. It is to ...

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  7. If the prime factorization of a natural number n is 2^3*3^2*5^2*6, wri...

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  8. A circular field has a circumference of 360km. Three cyclists start ...

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  9. In a morning walk three persons step off together, their steps measure...

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  10. Prove that sqrt(2)+sqrt(5) is irrational.

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  11. Show that there is no positive integer n for which sqrt(n-1)+sqrt(n+1...

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  12. A merchant has 120 litres of oil of one kind, 180 litres of another ...

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  13. Two brands of chocolates are available in packs of 24 and 15 respec...

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  14. What is the largest number that divides 626, 3127 and 15628 and lea...

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  15. Find the greatest number that will divide 445, 572 and 699 leaving ...

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  16. Two tankers contain 850 litres and 680 litres of petrol respectively. ...

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  17. Two sets of English and social science books containing 336 and 96 res...

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  18. Find the HCF of 81 and 237 and express it as a linear combination of 8...

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  19. Find the largest number that will divide 398 , 436 and 542 leaving rem...

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  20. Let a,b,c,k be rational numbers such that k is not perfect cube if a ...

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