Convert cube root of 507 to square root

Here is the formula and math required to convert the cube root of 507 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 ∛507 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 507 to a square root by entering 507 in for c in our formula. Here is the math and the answer:

(∛c)² = s
(∛507)² = s
(∛507)² ≈ 63.5827
∛507 ≈ √63.5827
Cube root of 507 ≈ Square root of 63.5827

A calculator will confirm that the cube root of 507 is in fact the same as the square root of 63.5827.

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