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Find the cube root 1.331....

Find the cube root 1.331.

Text Solution

Verified by Experts

Prime factorising, we get,
`1331=11xx11xx11`
Then,
`1.331=1.1xx1.1xx1.1=(1.1)^3`
Therefore, cube root of `1.331` is:
`root(3)(1.331)=root(3)((1.1)^3)=1.1.`
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RD SHARMA-CUBES AND CUBE ROOTS-All Questions
  1. Evaluate: 1372 3 xx 1458. 3

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  2. Find the cube root of each of the following numbers : (1331)/(4096) ...

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  3. Find the cube root 1.331.

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  4. Find the cube root of 0.003375.

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  5. The volume of a cubical box is 32.768 cubic metres. Find the length ...

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  6. Find the cube roots of each of the following integers: -125 (ii) -5...

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  7. Show that: root(3)(27) xxroot(3)(64)=root(3)(27 xx64) root(3)(64...

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  8. Find the cube root of each of the following numbers: 8\ xx\ 125 (ii...

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  9. Evaluate: (i)root(3)(4^3xx6^3) (ii) root(3)(8\ xx 17\ xx 17\ xx 17...

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  10. Find the cube root of each of the following rational numbers: (-125)...

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  11. Find the cube root of each of the following rational numbers: (i)0.0...

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  12. Evaluate each of the following : (i) root3 (27) +root3( 0. 008)+ root...

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  13. Show that : (i)root(3)729/root(3)1000=root(3)(729/1000) (ii) root3( ...

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  14. Fill in the blanks: 125\ x\ 27 3=3\ x dot (ii) 8\ x =8 3 1728 3=4...

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  15. The volume of a cubical box is 474.552 cubic metres. Find the length...

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

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  17. Find the side of a cube whose volume is (24389)/(216)\ m^3dot

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  18. Evaluate: (i) root(3)36 xx root(3)384 (ii)root(3)96 xx root(3)144...

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  19. Find the cube roots of the numbers (i)3048625=3375 xx 729 (ii)20346417...

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  20. Find the units digits of the cube root of the following numbers: (i...

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