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Prove that each of the numbers is irrati...

Prove that each of the numbers is irrational :
`sqrt(3) +sqrt(2)`

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ICSE-RATIONAL AND IRRATIONAL NUMBERS -EXERCISE 1 (B)
  1. State in each case whether true or false: Some real numbers are rat...

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  2. Given universal set = { -6 , -5 (3)/(4) , -sqrt(4), - (3)/(5), -(3)/(8...

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  3. Prove that each of the numbers is irrational : sqrt(3) +sqrt(2)

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  4. Prove that each of the numbers is irrational : 3-sqrt(2)

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  5. Prove that each of the numbers is irrational : sqrt(5) -2

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  6. Write a pair of irrational numbers whose sum is irrational .

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  7. Write a pair of irrational numbers whose sum is rational .

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  8. Write of pair of irrational numbers whose difference is irrational .

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  9. Write a pair of irrational numbers whose difference is rational.

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  10. Write a pair of irrational numbers whose product is irrational.

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  11. Write a pair of irrational numbers whose product is rational.

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  12. Write in ascending order: 3 sqrt(5) and 4 sqrt(3)

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  13. Write in ascending order: 2 root(3)5 and 3root(3)2

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  14. Write in ascending order: 6 sqrt(5) , 7 sqrt(3) and 8 sqrt(2)

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  15. Write in descending order : 2root(4)6 and 3 root(4)2

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  16. Write in descending order : 7sqrt(3) and 3sqrt(7)

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  17. Compare : root(6)15 and root(4) 12

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  18. Compare : sqrt(24) and root (3)35

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  19. Insert two irrational numbers between 5 and 6.

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  20. Insert five irrational numbers between 2sqrt(5) and 3sqrt(3).

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