Simplify Cube Root of 4901

Here we will show you step-by-step how to simplify the cube root of 4901. Before we continue, note that the cube root of 4901 can be written as follows:

∛4901

The ∛ symbol is called the radical sign. To simplify the cube root of 4901 means to get the simplest radical form of ∛4901.

We start by listing the factors of 4901 like so:

1, 13, 29, 169, 377, and 4901

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 4901 cannot be simplified.

Although we cannot simplify the cube root of 4901, we did enter the cube root of 4901 into our calculator and got the following answer to the cube root of 4901 in decimal form:

∛4901 ≈ 16.9861

You may also be interested to know that you can write the cube root of 4901 with an exponent instead of a radical like this:

∛4901 = 4901^⅓

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* List of Perfect Cubes