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prove that sqrt(3)-sqrt(2) is an irratio...

prove that `sqrt(3)-sqrt(2)` is an irrational number.

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RD SHARMA ENGLISH-NUMBER SYSTEM-All Questions
  1. Find three different irrational numbers between the rational numbers...

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  2. Write three numbers whose decimal expansions arc non-terminating no...

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  3. prove that sqrt(3)-sqrt(2) is an irrational number.

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  4. Examine, whether the following numbers are rational or irrational: ...

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  5. Define an irrational number.

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  6. Explain, how irrational numbers differ from rational number?

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  7. Examine, whether the following numbers are rational or irrational: ...

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

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  9. Examine, whether the following numbers are rational or irrational: ...

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

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

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  12. Identify the following as rational or irrational numbers. Give the ...

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  13. Identify the following as rational or irrational numbers. Give the d...

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  14. In the following equations, find which variables x ,\ y ,\ z etc. repr...

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  15. In the following equations, find which variables x ,\ y ,\ z etc. repr...

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

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  17. Give two rational numbers lying between 0. 232332333233332.... and 0....

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  18. Give two rational numbers lying between 0. 515115111511115.... and 0....

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  19. Find one irrational number between 0.2101 and 0.2222

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  20. Find a rational number and also an irrational number lying between t...

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