Convert cube root of 512 to square root

Here is the formula and math required to convert the cube root of 512 to an equivalent square root. Before we continue, note that the math symbol for a cube root is ∛, and the math symbol for a square root is √. To convert ∛512 to √, we start by making a cube root (c) to square root (s) formula, like this:

∛c = √s
(∛c)² = (√s)²
(∛c)² = s

Now that we have our formula, we can convert the cube root of 512 to a square root by entering 512 in for c in our formula. Here is the math and the answer:

(∛c)² = s
(∛512)² = s
(∛512)² = 64
∛512 = √64
Cube root of 512 = Square root of 64

A calculator will confirm that the cube root of 512 is in fact the same as the square root of 64.

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