Question

find cube root using prime factorisation method 19648

Answer 1

sorry dear but the number 19648 is not a cube of any number.

so if you calculate cube root of the number you will get 26.9839868468217

Answer 2

Answer:

The cube root of 19648 is $4\sqrt[3]{307}$ .

Step-by-step explanation:

Given the number 19648. The prime factorization of the number 19648 is,

$19648=2\times 2\times 2\times 2\times 2\times 2\times 307$

Since we need to find the cube root, we can group the same numbers into a group of 3. That is

$19648=2^3\times 2^3\times 307$

So when we take the cube root, we can take one prime from each prime having power 3.

So we have the cube root of 19648 as,

$\sqrt[3]{19648}=2\times 2\times\sqrt[3]{307}=4 \sqrt[3]{307}$ .