Q. 4

Find the cube root of each of the following natural numbers:

(i) 343 (ii) 2744

(iii) 4913 (iv) 1728

(v) 35937 (vi) 17576

(vii) 134217728 (viii) 48228544

(ix) 74088000 (x) 157464

(xi) 1157625 (xii) 33698267

Answer :

(i) 343


By prime factorization method,


= =


(ii) 2744


By prime factorization method,


=


(iii) 4913


By prime factorization method,


=


(iv) 1728


By prime factorization method,


=


(v) 35937


By prime factorization method,


=


(vi) 17576


By prime factorization method,


=


(vii) 134217728


By prime factorization method,


=


(viii) 48228544


By prime factorization method,


=


= 2 × 2 × 7 × 13 = 364.


(ix) 74088000


By prime factorization method,


=


= 2 × 2 × 3 × 5 × 7 = 420.


(x) 157464


By prime factorization method,


=


= 2 × 3 × 3 × 3 = 54.


(xi) 1157625


By prime factorization method,


=


(xii) 33698267


By prime factorization method,


=


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