Convert square root of 823 to cube root

Here is the formula and math required to convert the square root of 823 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 √823 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 823 to a cube root by entering 823 in for s in our formula. Here is the math and the answer:

(√s)³ = c
(√823)³ = c
(√823)³ ≈ 23610.2047
√823 ≈ ∛23610.2047
Square root of 823 ≈ Cube Root of 23610.2047

A calculator will confirm that the square root of 823 is in fact the same as the cube root of 23610.2047.

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