Convert cube root of 174 to square root

Here is the formula and math required to convert the cube root of 174 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 ∛174 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 174 to a square root by entering 174 in for c in our formula. Here is the math and the answer:

(∛c)² = s
(∛174)² = s
(∛174)² ≈ 31.1673
∛174 ≈ √31.1673
Cube root of 174 ≈ Square root of 31.1673

A calculator will confirm that the cube root of 174 is in fact the same as the square root of 31.1673.

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