Convert cube root of 9 to square root

Here is the formula and math required to convert the cube root of 9 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 ∛9 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 9 to a square root by entering 9 in for c in our formula. Here is the math and the answer:

(∛c)² = s
(∛9)² = s
(∛9)² ≈ 4.3267
∛9 ≈ √4.3267
Cube root of 9 ≈ Square root of 4.3267

A calculator will confirm that the cube root of 9 is in fact the same as the square root of 4.3267.

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