Convert cube root of 4700 to square root

Here is the formula and math required to convert the cube root of 4700 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 ∛4700 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 4700 to a square root by entering 4700 in for c in our formula. Here is the math and the answer:

(∛c)² = s
(∛4700)² = s
(∛4700)² ≈ 280.5855
∛4700 ≈ √280.5855
Cube root of 4700 ≈ Square root of 280.5855

A calculator will confirm that the cube root of 4700 is in fact the same as the square root of 280.5855.

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