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Prove that sqrt3-sqrt5 is an irrational ...

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

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VGS PUBLICATION-BRILLIANT-REAL NUMBERS-EXERCISE
  1. Prove that sqrt2-3sqrt5 is a irrational number.

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

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

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

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

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

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

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

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

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

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  11. Write 210 as product of prime factors.

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

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

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  14. Is the units digit in the value of 6^n where 'n' is a natural number i...

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  15. Explain why 7xx11xx13+13 and 7xx6xx5xx4xx3xx2xx1+5 are composite nubme...

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  16. Find the HCF of 45,75 from Euclid's division lemma.

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  17. How do you say 7xx11xx13+13 and 7xx6xx5xx4xx3xx2xx1+5 are composite nu...

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  18. Express the following in log forms. (i) 2^(5)=32

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  19. Express the following in log forms. (ii) 3^(3)=27

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  20. Express the following in log forms. (iii) 5^(3)=125

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