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Prove that sqrt2+sqrt11 is an irrational...

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

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VGS PUBLICATION-BRILLIANT-REAL NUMBERS-EXERCISE
  1. Prove that sqrt3 + sqrt5 is an irrational number.

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

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

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

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  5. Write 210 as product of prime factors.

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

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

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

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

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

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

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

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

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

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  15. Calculate the value of log(2)512.

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  16. Calculate the value of log(10)0.01.

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  17. Express log(5)125=3 in its exponential form.

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  18. Prove that log(a)xy=log(a)x+log(a)y.

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  19. [H^+] ion concentration in a soap used by Sankar is 9.2xx10^(-22). The...

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  20. Choose the irrational numbers from the following given sqrt2, sqrt3, 5...

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