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Prove that sqrt(2) is not a rational num...

Prove that `sqrt(2)` is not a rational number.

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RD SHARMA ENGLISH-NUMBER SYSTEM-All Questions
  1. Express each of the following mixed recurring decimals in the form p...

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  2. Show that 0. 2353535 dot=0. 2 35 can be expressed in the form p/q ,\...

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  3. Prove that sqrt(2) is not a rational number.

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  4. Prove that sqrt(3) is an a irrational number.

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  5. Prove that sqrt(n) is not a rational number. if n is not a perfect squ...

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  6. Give examples of two irrational numbers the product of which is: a ...

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  7. The product of sqrt(2)\ a n d\ sqrt(3) is sqrt(6) , which is an irrati...

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  8. Insert a rational and an irrational number between 2 and 3.

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  9. Find two irrational number between 2\ a n d\ 2. 5

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  10. Find two irrational numbers lying between sqrt(2)\ a n d\ sqrt(3)

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  11. Find two irrational numbers between 0. 12\ a n d\ 0. 13

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  12. Find two rational numbers between 0. 232332333233332..... and 0. 2525...

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  13. Find the rational number and also an irrational number between the n...

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  14. Find one irrational number between the number a\ a n d\ b given below:...

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  15. Find three different irrational numbers between the rational numbers...

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

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

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

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  19. Define an irrational number.

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

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