Convert cube root of 393 to square root

Here is the formula and math required to convert the cube root of 393 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 ∛393 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 393 to a square root by entering 393 in for c in our formula. Here is the math and the answer:

(∛c)² = s
(∛393)² = s
(∛393)² ≈ 53.6531
∛393 ≈ √53.6531
Cube root of 393 ≈ Square root of 53.6531

A calculator will confirm that the cube root of 393 is in fact the same as the square root of 53.6531.

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