Question

Find the cube root by prime factorisation: $46656$

Answer 1

Writing the prime factors of $46656$ we get: $46656=$$2\times 2\times 2\times 2\times 2\times 2\times 9\times 9\times 9$

Taking one prime number from each of the triplets we get:

$\sqrt[3]{346656}=2\times 2\times 9=36$