Making use of the cube root table find the cube roots of the following (correct t0 three decimal places) : 5112               (ii) 9800                (iii) 732

Explanation

`(i)5112`

`=5100<5112<5200`

`= root(3)5100 < root(3)5112 < root(3)5200`

`=17.21 < root(3)5112 < 17.32`

For the difference of `5200 - 5100 = 100`, the difference in the cube root values `= 17.32 - 17.21= 0.11`

hence for the difference of` ( 5112 - 5100= 12)`, the difference in the cube root value is:

`=>0.11/100xx12=0.0132`

hence
`=>root(3) 5112=root(3)5100 +0.0132`

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