Simplify Cube Root of 174

Here we will show you step-by-step how to simplify the cube root of 174. Before we continue, note that the cube root of 174 can be written as follows:

∛174

The ∛ symbol is called the radical sign. To simplify the cube root of 174 means to get the simplest radical form of ∛174.

We start by listing the factors of 174 like so:

1, 2, 3, 6, 29, 58, 87, and 174

Next, we identify the perfect cubes* from the list of factors above:

1

Since 1 is the only perfect cube above, the cube root of 174 cannot be simplified.

Although we cannot simplify the cube root of 174, we did enter the cube root of 174 into our calculator and got the following answer to the cube root of 174 in decimal form:

∛174 ≈ 5.5828

You may also be interested to know that you can write the cube root of 174 with an exponent instead of a radical like this:

∛174 = 174^⅓

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Simplify Cube Root of 175
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* List of Perfect Cubes