Convert cube root of 7 to square root


Cube Root to Square Root

Here is the formula and math required to convert the cube root of 7 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 ∛7 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 7 to a square root by entering 7 in for c in our formula. Here is the math and the answer:

(∛c)² = s
(∛7)² = s
(∛7)² ≈ 3.6593
∛7 ≈ √3.6593
Cube root of 7 ≈ Square root of 3.6593


A calculator will confirm that the cube root of 7 is in fact the same as the square root of 3.6593.

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