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Evaluate: (i) root(3)(4^3×6^3) (ii) root...

Evaluate: (i) `root(3)(4^3×6^3)` (ii) `root(3)( 8×17×17×17)` (iii) `root(3)(700×2×49×5)` (iv) `125root(3)(a^3)` - `root(3)(125a^6)`

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RD SHARMA ENGLISH-CUBES AND CUBE ROOTS-All Questions
  1. Show that: (i)27 ^(1/3)X\ 64 ^(1/3)=\ (27X 64) ^(1/3) (ii)(64X\ 72...

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  2. Find the cube root of each of the following numbers: (i)8\ x\ 125 (...

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  3. Evaluate: (i) root(3)(4^3×6^3) (ii) root(3)( 8×17×17×17) (iii) root(...

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

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  5. Find the cube root of each of the following rational numbers: 0.001...

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  6. Evaluate each of the following : root(3)(27) + root(3)(0.008) + root...

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  7. Show that : (i) (729)^(1/3)/(1000)^(1/3)= (729/1000)^(1/3) (ii) (-51...

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  8. (i) ∛(125×27) = 3 × ...... (ii) ∛(8×…..) = 8 (iii) ∛1728 = 4 × ….. (iv...

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  9. The volume of a cubical box is 474.552 cubic metres. Find the lengt...

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

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

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  12. Evaluate: (i) 36^(1/3)X\ 384^(1/3)\ \ \ (ii)96^(1/3) \ X\ 144^(1/3)...

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  13. Find the cube roots of the numbers 2460375, 20346417, 210644875, 570...

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

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  15. Using cube root tables, find the cube root of (i) 62            (i...

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  16. Find the cube root of 448.

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  17. Find the cube root of 17064.

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  18. Using cube root table, find the value of ((51)/(125000))^(1/3)

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  19. Using cube tables, find the cube root of 85.9.

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  20. Using cube root table , find the cube root 953.

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