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If n is a natural number, then sqrt(n) i...

If `n` is a natural number, then `sqrt(n)` is: (a) always a natural number (b) always an irrational number (c) always an rational number (d) sometimes a natural number and sometimes an irrational number

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To solve the question, we need to analyze the nature of the square root of a natural number \( n \). ### Step-by-Step Solution: 1. **Understanding Natural Numbers**: - Natural numbers are the set of positive integers: \( 1, 2, 3, 4, \ldots \). 2. **Square Root of Natural Numbers**: ...
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RD SHARMA-NUMBER SYSTEM-All Questions
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  2. Which one of the following statement is true? The sum of two irrationa...

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  3. Which of the following is a correct statement? (A)Sum of two irratio...

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  4. Which of the following statements is true? product of two irrational n...

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  5. Which of the following is irrational? A.sqrt(4/9) B. 4/5 C. sqrt(...

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  6. Which of the following is irrational? (a)0. 14 (b) 0. 14 bar(16) (c)...

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  7. Which of the following is rational? sqrt(3) (b) pi (c) 4/0 ...

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  8. The number 0. 318564318564318564... is: (a) natural number (b) an i...

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  9. If n is a natural number, then sqrt(n) is: (a) always a natural number...

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  10. Which of the following numbers can be represented as non-terminating, ...

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  11. Every point on a number line represents as: (a) a unique real number ...

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  12. An irrational number between 2\ a n d\ 2. 5 is sqrt(11)\ (b) sqrt...

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  13. Which of the following is irrational? 0. 15\ (b) 0. 01516 (c) 0. 1...

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  14. The number of consecutive zeros in 2^3xx\ 3^4xx\ 5^4xx\ 7, is (a) 3...

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  15. The number 1. 272727..... in the form p/q , where p\ a n d\ q are in...

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  16. The number 0. 3\ in the form p/q ,\ where p\ a n d\ q are integers a...

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  17. The smallest rational number by which 1/3 should be multiplied so that...

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  18. (0. 32) when expressed in the form p/q(p ,\ q\ are integers q\ !=0),...

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  19. 23. bar(43 ) when expressed in the form p/q(p ,\ q are integers q\ !=0...

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  20. The value of 0. 23 +\ 0. 22 is 0. 45 \ (b) 0. 43 \ (c) ...

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