Convert square root of 338 to cube root

Here is the formula and math required to convert the square root of 338 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 √338 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 338 to a cube root by entering 338 in for s in our formula. Here is the math and the answer:

(√s)³ = c
(√338)³ = c
(√338)³ ≈ 6214.0544
√338 ≈ ∛6214.0544
Square root of 338 ≈ Cube Root of 6214.0544

A calculator will confirm that the square root of 338 is in fact the same as the cube root of 6214.0544.

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