Convert cube root of 8 to square root

Here is the formula and math required to convert the cube root of 8 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 ∛8 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 8 to a square root by entering 8 in for c in our formula. Here is the math and the answer:

(∛c)² = s
(∛8)² = s
(∛8)² = 4
∛8 = √4
Cube root of 8 = Square root of 4

A calculator will confirm that the cube root of 8 is in fact the same as the square root of 4.

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