A cube root of 216 is 6.
Here's why:
The cube root of a number is a value that, when multiplied by itself three times, equals that number. In mathematical terms, if x³ = y, then x is the cube root of y.
In this case, we are looking for a number that, when multiplied by itself three times, equals 216.
We can express 216 as a product of its prime factors: 216 = 2 × 2 × 2 × 3 × 3 × 3. This can also be written as 2³ × 3³.
Therefore, ∛216 = ∛(2³ × 3³) = 2 × 3 = 6.
Since 6 × 6 × 6 = 216, the cube root of 216 is indeed 6.