Cube root of 512 is:

8

Steps to be followed:

Step 1: Find the prime factors of the number.

For example: 512 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

Step 2: Group the prime factors in the form of triplets.

For example: 512 = (2 × 2 × 2) × (2 × 2 × 2) × (2 × 2 × 2)

Step 3: Take out one number from each triplet and find the product.

For example: 512 = (2) × (2) × (2)

Therefore: we can say that 3√512 = 2 × 2 × 2 = 8