Convert cube root of 2 to square root

Here is the formula and math required to convert the cube root of 2 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 ∛2 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 2 to a square root by entering 2 in for c in our formula. Here is the math and the answer:

(∛c)² = s
(∛2)² = s
(∛2)² ≈ 1.5874
∛2 ≈ √1.5874
Cube root of 2 ≈ Square root of 1.5874

A calculator will confirm that the cube root of 2 is in fact the same as the square root of 1.5874.

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