Convert square root of 8624 to cube root

Here is the formula and math required to convert the square root of 8624 to an equivalent cube root. Before we continue, note that the math symbol for a square root is √, and the math symbol for a cube root is ∛. To convert √8624 to ∛, we start by making a square root of (s) to cube root of (c) formula, like this:

√s = ∛c
(√s)³ = (∛c)³
(√s)³ = c

Now that we have our formula, we can convert the square root of 8624 to a cube root by entering 8624 in for s in our formula. Here is the math and the answer:

(√s)³ = c
(√8624)³ = c
(√8624)³ ≈ 800872.0214
√8624 ≈ ∛800872.0214
Square root of 8624 ≈ Cube Root of 800872.0214

A calculator will confirm that the square root of 8624 is in fact the same as the cube root of 800872.0214.

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