Convert cube root of 160 to square root

Here is the formula and math required to convert the cube root of 160 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 ∛160 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 160 to a square root by entering 160 in for c in our formula. Here is the math and the answer:

(∛c)² = s
(∛160)² = s
(∛160)² ≈ 29.4723
∛160 ≈ √29.4723
Cube root of 160 ≈ Square root of 29.4723

A calculator will confirm that the cube root of 160 is in fact the same as the square root of 29.4723.

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