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Prove that 5+sqrt(3) is irrational....

Prove that `5+sqrt(3)` is irrational.

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NAGEEN PRAKASHAN ENGLISH-NUMBER SYSTEM-Exercise 1c
  1. Fill in the blanks : (i) Every real number is either . . . . . . . ....

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  2. Examine whether the following numbers are rational or irrational : (...

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  3. Examine whether the following numbers are rational or irrational. Give...

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  4. Give a rational number between 0.272772777 . . . And 0.3.

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  5. Give a rational number between 0.103 and 0.112111211112 . . . .

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  6. Give an irrational numbers between 0.505005000 . . . and 0.525225222 ....

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  7. Find two irrational numbers between 0.6 and 0.66.

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  8. Find two irrational numbers between 0.2 and 0.23.

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  9. Find two rational numbers between 0.565665666 . . . and 0.585885888 ...

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  10. Find two rational numbers between 0.383383338 . . . and 0.404404440 ....

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  11. Prove that 5+sqrt(3) is irrational.

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  12. Prove that 3-sqrt(2) is irrational.

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  13. Prove that 8sqrt(5) is irrational.

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  14. Prove that (2)/(sqrt(3)) is irrational.

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  15. Give an example of each, of two irrational numbers whose: (i) differ...

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  16. Represent sqrt(6),sqrt(7),sqrt(8) on the number line.

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  17. Represents sqrt(9.3) on the number line.

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  18. Locate sqrt(3)on the number line.

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  19. Visualise 2.364 on the number line using successive magnification.

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  20. Visualise 5.bar(3) on the number line upto 4 decimal places.

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