Convert cube root of 678 to square root

Here is the formula and math required to convert the cube root of 678 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 ∛678 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 678 to a square root by entering 678 in for c in our formula. Here is the math and the answer:

(∛c)² = s
(∛678)² = s
(∛678)² ≈ 77.1767
∛678 ≈ √77.1767
Cube root of 678 ≈ Square root of 77.1767

A calculator will confirm that the cube root of 678 is in fact the same as the square root of 77.1767.

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