Question

Find the cube root of 729 and 6859 by prime factorisation​

Answer 1

Answer:

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:

729 = 3 \times 3 \times 3 \times 3 \times 3 \times 3729=3×3×3×3×3×3

\sqrt[3]{729} = \sqrt[3]{3 \times 3 \times 3 \times 3 \times 3 \times 3}3729=33×3×3×3×3×3

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

\sqrt[3]{729}=\sqrt[3]{3 \times 3 \times 3}\times\sqrt[3]{3 \times 3 \times 3}3729=33×3×3×33×3×3

\sqrt[3]{729} = 3 \times 3 = 93729=3×3=9

Thus cube root of 729 by prime factorization method is 9

Learn more about cube roots and prime factorization

1) Find the cube roots of the following numbers: (i) -5832

2) Find the cube root of each of the following: (i) -216 x 1728

https://brainly.in/question/4521560

Find the cube root of the following numbers by prime factorization method.

(i) 343

(ii) 729

(iii) 1331

(iv) 2744

https://brainly.in/question/4902025

I hope its help u

plz brainlist my answer

Answer 2

this is prime factorisation method