Convert cube root of 189 to square root

Here is the formula and math required to convert the cube root of 189 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 ∛189 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 189 to a square root by entering 189 in for c in our formula. Here is the math and the answer:

(∛c)² = s
(∛189)² = s
(∛189)² ≈ 32.9338
∛189 ≈ √32.9338
Cube root of 189 ≈ Square root of 32.9338

A calculator will confirm that the cube root of 189 is in fact the same as the square root of 32.9338.

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

Convert cube root of 190 to square root
Here is the next cube root on our list that we have converted to a square root.