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

Show that:
`root(3)(27) xxroot(3)(64)=root(3)(27 xx64)`
`root(3)(64 xx729)=root(3)( 64)xx root(3)(729)`
`root(3)(-125 xx 216)=root(3)( -125)xx root(3)(216)`
`root(3)(-125 3xx-1000)=root(3)(-125)xx root(3)(-1000)`

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RD SHARMA-CUBES AND CUBE ROOTS-All Questions
  1. The volume of a cubical box is 32.768 cubic metres. Find the length ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Find the tens digit of the cube root of each of the numbers in previ...

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  18. Using cube root tables, find the cube root of (i)62 (ii) 620  (iii)...

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  19. Find the cube root of 448.

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  20. Find the cube root of 17064.

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