Convert cube root of 7689 to square root

Here is the formula and math required to convert the cube root of 7689 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 ∛7689 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 7689 to a square root by entering 7689 in for c in our formula. Here is the math and the answer:

(∛c)² = s
(∛7689)² = s
(∛7689)² ≈ 389.5650
∛7689 ≈ √389.5650
Cube root of 7689 ≈ Square root of 389.5650

A calculator will confirm that the cube root of 7689 is in fact the same as the square root of 389.5650.

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