Here is the formula and math required to convert the cube root of 150 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 ∛150 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 150 to a square root by entering 150 in for c in our formula. Here is the math and the answer:

(∛c)² = s

(∛150)² = s

(∛150)² ≈ 28.2311

∛150 ≈ √28.2311

**Cube root of 150 ≈ Square root of 28.2311**

A calculator will confirm that the cube root of 150 is in fact the same as the square root of 28.2311.

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