**The cube root of 512 is eight.** This is because when eight is cubed, or multiplied by itself three times (8 x 8 x 8), it is equal to 512.

When a number is cubed, it is multiplied by itself three times. For example, two cubed is equal to 2 x 2 x 2, or eight. Also, three cubed is equal to 3 x 3 x 3, or 27. Similarly, eight cubed is equal to 8 x 8 x 8, or 512. The cube root is the value that must be cubed to equal said number. It can be found by multiplying the number to the power of one-third.