Convert cube root of 8172 to square root

Here is the formula and math required to convert the cube root of 8172 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 ∛8172 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 8172 to a square root by entering 8172 in for c in our formula. Here is the math and the answer:

(∛c)² = s
(∛8172)² = s
(∛8172)² ≈ 405.7130
∛8172 ≈ √405.7130
Cube root of 8172 ≈ Square root of 405.7130

A calculator will confirm that the cube root of 8172 is in fact the same as the square root of 405.7130.

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