Question

find cuberoot of 729 by solution​

Answer 1

Answer:

Explanation:Cube root of 729 by prime factorization method is 9

Solution:

To find cube root of 729 by prime factorization method

A number that must be multiplied times itself three times to equal a given number is called cube root

Prime factorization method:

Prime factorization is a number written as the product of all its prime factors.

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

Prime factorization of 729:

Make the groups of 3 of equal numbers. There are two groups, so from each group take one factor

Thus cube root of 729 by prime factorization method is 9