Convert square root of 343 to cube root


Square Root to Cube Root

Here is the formula and math required to convert the square root of 343 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 √343 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 343 to a cube root by entering 343 in for s in our formula. Here is the math and the answer:

(√s)³ = c
(√343)³ = c
(√343)³ ≈ 6352.4489
√343 ≈ ∛6352.4489
Square root of 343 ≈ Cube Root of 6352.4489


A calculator will confirm that the square root of 343 is in fact the same as the cube root of 6352.4489.

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