State true/false:

The cube root of 3375 by using the prime factorisation method is 15.

The given statement is true.

To find the cube root we will do the prime factorization of 3375.

$3375=5\times 5\times 5\times 3\times 3\times 3$

Taking cube root on both sides, we get:

$\sqrt[3]{3375}=\sqrt[3]{(5\times 5\times 5)\times (3\times 3\times 3)}$

$=5\times 3$

$=15$

Hence the cube root of 3375 is 15.