
Here is the formula and math required to convert the cube root of 625 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 ∛625 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 625 to a square root by entering 625 in for c in our formula. Here is the math and the answer:
(∛c)² = s
(∛625)² = s
(∛625)² ≈ 73.1004
∛625 ≈ √73.1004
Cube root of 625 ≈ Square root of 73.1004
A calculator will confirm that the cube root of 625 is in fact the same as the square root of 73.1004.
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