Convert cube root of 175 to square root

Here is the formula and math required to convert the cube root of 175 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 ∛175 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 175 to a square root by entering 175 in for c in our formula. Here is the math and the answer:

(∛c)² = s
(∛175)² = s
(∛175)² ≈ 31.2866
∛175 ≈ √31.2866
Cube root of 175 ≈ Square root of 31.2866

A calculator will confirm that the cube root of 175 is in fact the same as the square root of 31.2866.

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

Convert cube root of 176 to square root
Here is the next cube root on our list that we have converted to a square root.