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Show that : (i) (729)^(1/3)/(1000)^(1/3...

Show that : (i) `(729)^(1/3)/(1000)^(1/3)= (729/1000)^(1/3)`
(ii) `(-512)^(1/3)/(343)^(1/3)= (-512/343)^(1/3)`

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Show that: (i)27 ^(1/3)X\ 64 ^(1/3)=\ (27X 64) ^(1/3) (ii)(64X\ 729 )^(1/3)=\ 64 ^(1/3)X\ 729 ^(1/3) (iii) (-125 X\ 216 )^(1/3) = \ -125 ^(1/3) X \ 216 ^(1/3) (iv) (-125X-1000)^(1/3)=-125 ^(1/3)X\ -1000^(1/3)

Write the following surds in descending order of their magnitudes : (i)(2)^(1/3),(3)^(1/6),(4)^(1/9)" "(ii)(3)^(1/3),(5)^(1/4),sqrt(2),(10)^(1/6)

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without actually calculating , the cubes , find the valuse of (i) ((1)/(2))^(3)+((1)/(3))^(3)-((5)/(6))^(3) (ii) (0.2)^(3)-(0.3)^(3)+(0.1)^(3)

Evaluate: (i) 36^(1/3)X\ 384^(1/3)\ \ \ (ii)96^(1/3) \ X\ 144^(1/3) (ii) 100^(1/3)X 270^(1/3)\ (iv) 121^(1/3)X\ 297^(1/3)

Simplify (i) 2^(2/3). 2^(1/3) (ii) (3^(1/5))^4 (iii) (7^(1/5))/(7^(1/3)) (iv) 13^(1/5). 17^(1/5)

Evaluate : (4)/((216)^(-2//3))+(1)/((256)^(-3//4))+(2)/((343)^(-1//3))

1 g cm^(-3) = 1000 kg m^(-3)

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RD SHARMA ENGLISH-CUBES AND CUBE ROOTS-All Questions
  1. Find the cube root of each of the following rational numbers: 0.001...

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

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

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

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

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

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

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

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

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

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

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  12. Find the cube root of 448.

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  13. Find the cube root of 17064.

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

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

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

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  17. Using cube root table, find the cube root of 5319.

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  18. Using cube root table, find the cube root of 309400.

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  19. Making use of the cube root table find the cube roots of the followi...

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  20. Making use of the cube root table find the cube roots of the followi...

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