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Show that sqrt2/3 is irrational...

Show that ` sqrt2/3 ` is irrational

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RS AGGARWAL-REAL NUMBERS-Exercise 1E
  1. If a and b are two prime numbers then find HCF ( a,b)

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  2. If a and b are two prime numbers then find LCM (a,b)/

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  3. If the product of two numbers is 1050 and their HCF is 25, find their ...

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  4. What is a composite number ?

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  5. If a and b are relavtively prime then what is their HCF ?

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  6. If the rational number a/b has a terminating decimal expansion, what ...

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  7. Simplify : ((2 sqrt(45) + 3 sqrt(20)))/(2sqrt5)

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  8. Write the decimal expainsion of 73/ (((2^(4) xx 5^(3)))

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  9. show that there is no value of n for which ( 2^(n) xx 5 ^(n)) ends i...

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  10. Is it possible to have two numbers whose HCF is 25 and LCM is 520 ?

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  11. Give an example of two irrationals whose sum is rational.

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  12. Give an example of two irrationals whose product is rational.

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  13. If a and b are relavtively prime, what is their LCM ?

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  14. The LCM of two numbers is 1200. show that the HCF of these numbers can...

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  15. Express 0.overline(4) as a rational number in simplest form.

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  16. Express 0.overline(23) as a rational number is simplest form.

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  17. Explain why 0./155001500015 …. Is an irrational number.

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  18. Show that sqrt2/3 is irrational

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  19. A rational number between sqrt3 and 2

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  20. Explain why 3.overline(1416) is a rational number

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