Convert cube root of 100 to square root

Here is the formula and math required to convert the cube root of 100 to an equivalent square root. Before we continue, note that the math symbol for a cube root is ∛, and the math symbol for a square root is √. To convert ∛100 to √, we start by making a cube root (c) to square root (s) formula, like this:

∛c = √s
(∛c)² = (√s)²
(∛c)² = s

Now that we have our formula, we can convert the cube root of 100 to a square root by entering 100 in for c in our formula. Here is the math and the answer:

(∛c)² = s
(∛100)² = s
(∛100)² ≈ 21.5443
∛100 ≈ √21.5443
Cube root of 100 ≈ Square root of 21.5443

A calculator will confirm that the cube root of 100 is in fact the same as the square root of 21.5443.

Cube Root to Square Root Converter
Enter another cube root that we can convert to a square root for you.

Convert cube root of 101 to square root
Here is the next cube root on our list that we have converted to a square root.