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Show that sqrt2is an irrational number....

Show that `sqrt2`is an irrational number.

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R G PUBLICATION-REAL NUMBERS-EXERCISE
  1. Show that sqrt2is an irrational number.

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  2. Use Euclid's division algorithm to find the HCF of :(i) 135 and 225

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  3. Use Euclid's division algorithm to find the HCF of :(ii) 196 and 3822...

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  4. Use Euclid's division algorithm to find the HCF of :(iii) 867 and 225

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  5. Show that any positive odd interger is of the form 6q+1,or 6q+3,or 6q+...

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  6. An army contingent of 616 members is to march behind an army band of 3...

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  7. Use Euclid's division lemma to show that the square of any positive in...

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  8. Use Euclid's division lemma to show that the cube of any positive inte...

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  9. Express each number as a product of its prime factors:(i)140

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  10. Express each number as a product of its prime factors:(ii) 156

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  11. Express each number as a product of its prime factors:(iii)3825

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  12. Express each number as a product of its prime factors:(iv)5005

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  13. Express each number as a product of its prime factors:(v)7429

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  14. Find the LCM and HCF of the following pairs of integer and verify that...

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  15. Find the LCM and HCF of the following pairs of integer and verify that...

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  16. Find the LCM and HCF of the following pairs of integer and verify that...

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  17. Find the LCM and HCF of the following integers by applying the prime f...

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  18. Find the LCM and HCF of the following integers by applying the prime f...

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  19. Find the LCM and HCF of the following integers by applying the prime f...

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  20. Given that HCF (306,657)=9,find LCM (306,657)

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  21. Check whether 6^n can end with the digit 0 for any natural number n.

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