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

Find the cube root of each of the following natural numbers:
(i)157464
(ii) 1157625
(iii) 33698267

Text Solution

Verified by Experts

(i) `157464`
`157464=2^3times3^3times3^3times3^3`
`root(x)(157464)=2times3times3times3`
`root(x)(157464)=54`

(ii) `1157625`
`1157625=3^3times5^3times7^3`
`root(3)(1157625)=3times5times7`
`root(3)(1157625)=105`

(iii) `33698267`
`33698267=17^3times19^3`
`root(3)(33698267)=17times19`
`root(3)(33698267)=323`
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