Question

Use prime factorization method to find cube root of 10648

Answer 1

See the attach file for ans

Answer 2

Answer:

22

Step-by-step explanation:

Given : Number = 10648

To Find :Use prime factorization method to find cube root of 10648

Solution:

Prime Factorization

2 | 10648

2 | 5324

2 | 2662

11 | 1331

11 | 121

11 |  11

   | 1

So, $10648 =2 \times 2 \times 2 \times 11 \times 11 \times 11$

$10648 =2^3 \times 11^3$

$\sqrt[3]{10648} =\sqrt[3]{2^3 \times 11^3}$

$\sqrt[3]{10648} =2 \times 11$

$\sqrt[3]{10648} =22$

Hence cube root of 10648 is 22.