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What is a cube root of 216?

Published in Mathematics 1 min read

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.

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