Here is the formula and math required to convert the cube root of 4611 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 ∛4611 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 4611 to a square root by entering 4611 in for c in our formula. Here is the math and the answer:
(∛c)² = s
(∛4611)² = s
(∛4611)² ≈ 277.0321
∛4611 ≈ √277.0321
Cube root of 4611 ≈ Square root of 277.0321
A calculator will confirm that the cube root of 4611 is in fact the same as the square root of 277.0321.
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