Question

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

Answer 1

Answer:answer in the attachment

Step-by-step explanation:

Answer 2

Answer:

The cube root of 729 and 6859 by prime factorization is 9 and 19 respectively.

Step-by-step explanation:

To find the cube root through prime factorization, we need to list down the prime factors of the given numbers.

729 = 3 × 3 × 3 × 3 × 3 × 3 = 3³ × 3³

out of each pair of 3, we pick one number. So, in this case we have:

Cube root of 729 = 3 × 3 = 9

Now, let's look at 6859.

6859 = 19 × 19 × 19

Out of the three, we pick one number.

So, in this case the cube root of 6859 is 19.

The cube root of 729 and 6859 by prime factorization is 9 and 19 respectively.