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Prove that 2+sqrt3 is irrational....

Prove that `2+sqrt3` is irrational.

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VGS PUBLICATION-BRILLIANT-REAL NUMBERS-EXERCISE
  1. Express 2016 and as product of prime factors.

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  2. Write any two digit numbers. Find their L.C.M. and G.C.D. by prime fac...

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  3. Prove that 2+sqrt3 is irrational.

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  4. Show that log""(162)/(343)+2log""(7)/(9)-log""(1)/(7)=log2

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  5. Lalitha says that HCF and LCM of the numbers 80 and 60 are 20 and 120 ...

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  6. If x^2 + y^2 = 10xy, prove that 2 log (x + y) = log x + log y + 2 log ...

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

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  8. Prove that sqrt2-3sqrt5 is a irrational number.

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  9. Use Euclid's division lemma, to show that the cube of any positive int...

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  10. Prove that sqrt3-sqrt5 is an irrational number.

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

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

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  13. If x^2+y^2=27xy, then show that log((x-y)/(5))=1/2[logx+logy].

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  14. Prove that sqrt3 + sqrt5 is an irrational number.

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  15. Show that cube of any positive integer will be in the form of 8m or 8m...

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  16. Prove that sqrt2+sqrt11 is an irrational number.

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  17. Show that sqrt5-sqrt3 is an irrational number.

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  18. Write 210 as product of prime factors.

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  19. If the HCF of 306 and 657 is 9 then find their LCM.

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  20. Support the Fundamental theorem of Arithmetic by considering some exam...

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