Here is the formula and math required to convert the cube root of 1752 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 ∛1752 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 1752 to a square root by entering 1752 in for c in our formula. Here is the math and the answer:
(∛c)² = s
(∛1752)² = s
(∛1752)² ≈ 145.3303
∛1752 ≈ √145.3303
Cube root of 1752 ≈ Square root of 145.3303
A calculator will confirm that the cube root of 1752 is in fact the same as the square root of 145.3303.
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