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Find the cube root of the following usin...

Find the cube root of the following using prime factorisation method
(a) 373248 (b) 27000 (c )17576

Text Solution

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(a) 373248=`2xx2xx2xx2xx2xx2xx2xx2xx2xx3xx3xx3xx3xx3xx3`
`therefore 3sqrt(27000)=3xx2xx5=30`

(c ) 17576=`2xx2xx2xx2xx13xx13xx13`
`therefore 3sqrt(17576)=2xx13=26`
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