Simplify Cube Root of 101

Here we will show you step-by-step how to simplify the cube root of 101. Before we continue, note that the cube root of 101 can be written as follows:

∛101

The ∛ symbol is called the radical sign. To simplify the cube root of 101 means to get the simplest radical form of ∛101.

We start by listing the factors of 101 like so:

1 and 101

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 101 cannot be simplified.

Although we cannot simplify the cube root of 101, we did enter the cube root of 101 into our calculator and got the following answer to the cube root of 101 in decimal form:

∛101 ≈ 4.6570

You may also be interested to know that you can write the cube root of 101 with an exponent instead of a radical like this:

∛101 = 101^⅓

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Simplify Cube Root of 102
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* List of Perfect Cubes