Q. 143.5( 2 Votes )

Find the cube roots of the numbers 3048625, 20346417, 210644875, 57066625 using the fact that

(i)

(ii)

(iii)

(iv)

Answer :

(i)


Taking cube root of the whole, we get,


=


We know that,


=


=


Now by prime factorization,



=


(ii)


Taking cube root of the whole,


=


We know that,


=


=


Now by prime factorization,


=


= 3 × 7 × 13 = 273.


(iii)


Taking cube root of the whole,


=


We know that,


=


=


Now by prime factorization,


=


= 5 × 7 × 17 = 595.


(iv)


Taking cube root of the whole, we get,


=


We know that,


=


=


Now by prime factorization method,


=


= 5 × 7 ×11 = 385.


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