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Find the cube root of 512.
Given :
The given number is 512.
To do :
We have to find the cube root of 512.
Solution :
The cube root of a number can be found by the prime factorization method.
Prime factorization of 512 is,
$512 = 2 \times 2 \times 2\times 2\times 2\times 2\times 2\times 2\times 2$
$= 2^3 \times 2^3 \times 2^3$
$= 8 \times 8\times 8$
$512 = 8^3$
$\sqrt[3]{512} =8$
Therefore, cube root of 512 is $8$.
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