Convert cube root of 105 to square root

Here is the formula and math required to convert the cube root of 105 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 ∛105 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 105 to a square root by entering 105 in for c in our formula. Here is the math and the answer:

(∛c)² = s
(∛105)² = s
(∛105)² ≈ 22.2566
∛105 ≈ √22.2566
Cube root of 105 ≈ Square root of 22.2566

A calculator will confirm that the cube root of 105 is in fact the same as the square root of 22.2566.

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