Convert square root of 7 to cube root


Square Root to Cube Root

Here is the formula and math required to convert the square root of 7 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 √7 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 7 to a cube root by entering 7 in for s in our formula. Here is the math and the answer:

(√s)³ = c
(√7)³ = c
(√7)³ ≈ 18.5203
√7 ≈ ∛18.5203
Square root of 7 ≈ Cube Root of 18.5203


A calculator will confirm that the square root of 7 is in fact the same as the cube root of 18.5203.

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