Question

find the cube root of 512 and 3375 by factorization method​

Answer 1

Answer:

(i) (8)3 = (8×8×8)= 512.

(i) (8)3 = (8×8×8)= 512. Thus, the cube of 512 is 8

(i) (8)3 = (8×8×8)= 512. Thus, the cube of 512 is 8(ii) (15)3 = (15×15×15)= 3375.

(i) (8)3 = (8×8×8)= 512. Thus, the cube of 512 is 8(ii) (15)3 = (15×15×15)= 3375. Thus the cube root of 3375 is 15.

In order of finding cube root by prime factorization we use the following steps :

Step I : Obtain the given number.

Step II : Resolve it into prime factors.

Step III : Group the factors in 3 in such a way that each number of the group is same.

Step IV : Take one factor from each group.

Step V : Find the product of the factors obtained in step IV. This product is the required cube root.

Answer 2

Answer:

cube root of 512 will be 8 and 3375 will be 15

Step-by-step explanation:

prime factorization of 512 will be 2×2×2×2×2×2×2×2×2=(2×2×2)=8

prime factorization of 3375 will be

5×5×5×2×2×2=(5×2)=15