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Insert a rational and an irrational numb...

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

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To insert a rational and an irrational number between 2 and 3, we can follow these steps: ### Step 1: Find a Rational Number To find a rational number between 2 and 3, we can take the average of the two numbers. The formula for the average of two numbers \( x \) and \( y \) is: \[ \text{Average} = \frac{x + y}{2} \] ...
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RD SHARMA-NUMBER SYSTEM-All Questions
  1. Give examples of two irrational numbers the product of which is: (i)...

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

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

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

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

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

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  7. Find two rational numbers between 0. 232332333233332 . . . and 0. 252...

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

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

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

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  11. Write three numbers whose decimal expansions are non-terminating no...

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

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

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  14. Define an irrational number.

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

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

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

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

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

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  20. Find decimal expansion of 4/5

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