Convert square root of 421 to cube root


Square Root to Cube Root

Here is the formula and math required to convert the square root of 421 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 √421 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 421 to a cube root by entering 421 in for s in our formula. Here is the math and the answer:

(√s)³ = c
(√421)³ = c
(√421)³ ≈ 8638.1978
√421 ≈ ∛8638.1978
Square root of 421 ≈ Cube Root of 8638.1978


A calculator will confirm that the square root of 421 is in fact the same as the cube root of 8638.1978.

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