
Here is the formula and math required to convert the square root of 506 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 √506 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 506 to a cube root by entering 506 in for s in our formula. Here is the math and the answer:
(√s)³ = c
(√506)³ = c
(√506)³ ≈ 11382.1885
√506 ≈ ∛11382.1885
Square root of 506 ≈ Cube Root of 11382.1885
A calculator will confirm that the square root of 506 is in fact the same as the cube root of 11382.1885.
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