
Here is the formula and math required to convert the square root of 1023 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 √1023 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 1023 to a cube root by entering 1023 in for s in our formula. Here is the math and the answer:
(√s)³ = c
(√1023)³ = c
(√1023)³ ≈ 32720.0117
√1023 ≈ ∛32720.0117
Square root of 1023 ≈ Cube Root of 32720.0117
A calculator will confirm that the square root of 1023 is in fact the same as the cube root of 32720.0117.
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