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Examine, whether the following numbers a...

Examine, whether the following numbers are rational or irrational: (i) `sqrt(3)+sqrt(2)` (ii) `sqrt(3)+sqrt(5)` (iii) `(sqrt(2)-2)^2`

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RD SHARMA ENGLISH-NUMBER SYSTEM-All Questions
  1. Explain, how irrational numbers differ from rational number?

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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: (...

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

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

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

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

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

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

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

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

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

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

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  14. Find one irrational number between 0.2101 and 0.2222

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

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  16. Find two irrational numbers between 0.5 and 0. 55

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  17. Find two irrational numbers lying between 0. 1\ \ a n d\ \ 0. 12

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  18. Prove that sqrt(3)+\ sqrt(5) is an irrational number.

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  19. Find three different irrational numbers between the rational number...

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  20. Complete the following sentences: (i) Every point on the number line c...

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