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Show that 0.001728 is the cube of a rati...

Show that 0.001728 is the cube of a rational number.

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Verified by Experts

`0.001728`=`1728/1000000`
`=12xx12xx12/100xx100xx100`
`=(12/100)^3`
`:. 12/100` is a rational number.
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RD SHARMA-CUBES AND CUBE ROOTS-All Questions
  1. Show that (-216)/(42875) is the cube of a rational number. Also find t...

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  2. Find the cube of rational number 3.1.

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  3. Show that 0.001728 is the cube of a rational number.

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  4. Find the cubes of : -11 (ii) -12 (iii) -21

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  5. Which of the following numbers are cubes of negative integers -64 ...

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  6. Show that the following integers are cubes of negative integers. Als...

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  7. Find the cube of : 7/9 (ii) 8/(11) (iii) (12)/7 (iv) (13)/8

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  8. Find the cube of : 2 2/5 (ii) 3 1/4 (iii) 0. 3 (iv) 1. 5

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  9. Find the cube of : 0. 08 (ii) 2. 1

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  10. Find which of the following numbers are cubes of rational numbers: ...

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  11. Find the cube root of 216

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  12. Find the cube root of 343.

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  13. Find the cube roots of the following numbers: 64           (ii) 343...

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  14. Find the cube roots of the following numbers ; 2197          (ii) 3...

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  15. Find the cube root of given number (i) 46656            (ii) 175616  ...

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  16. Find the cube root of 625

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  17. Find the cube root of 91125.

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  18. Find the smallest number which when multiplied with 137592 will mak...

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  19. Divide the number 26244 by the smallest number so that the quotient...

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  20. Three numbers are to one another 2 : 3 : 4 : The sum of their cubes is...

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