Question

find the cube root 592704​

Answer 1

Answer:

84 is your answer ,if you find this helpful ,pls. rate

Answer 2

Given: 592704​

To find: The cube root 592704​.

Solution:

The easiest way to find the cube root of large numbers is by the prime factorization method. In this method, the prime factors of the number are to be found and written to the powers of 3. Hence, the prime factors of 592704 are 2, 3 and 7. Now, 592704 can be written as follows.

$592704 = 2^{6}*3^{3}*7^{3}$

$592704 = 2^{3}*2^{3}*3^{3}*7^{3}$

Now, the cube root is applied on both sides of the equation.

$\sqrt[3]{592704} = \sqrt[3]{2^{3}*2^{3}*3^{3}*7^{3} }$

              $=2*2*3*7$

              $=84$

Therefore, the cube root 592704​ is 84.