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Find the cube root of each of the follow...

Find the cube root of each of the following rational numbers:
(i)0.001728
(ii)(0.003375
(iii)0.001 
(iv)1.331

Text Solution

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(i) `0.001728`
By prime factorisation method,
`0.001728=0.12xx0.12xx0.12`
`root(3)(0.001728)=0.12`

(ii) `0.003375`
By prime factorisation,
`0.003375=0.15xx0.15xx0.15`
`root(3)(0.003375)=0.15`

(iii) `0.001`
By prime fatorisation,
`0.001=0.1xx0.1xx0.1`
`root(3)(0.001)=0.1`

(iv) `1.3`
By prime factorisation,
`1.3=1.1xx1.1xx1.1`
`root(3)(1.3)=1.1`
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