Simplify Cube Root of 150

Here we will show you step-by-step how to simplify the cube root of 150. Before we continue, note that the cube root of 150 can be written as follows:

∛150

The ∛ symbol is called the radical sign. To simplify the cube root of 150 means to get the simplest radical form of ∛150.

We start by listing the factors of 150 like so:

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, and 150

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 150 cannot be simplified.

Although we cannot simplify the cube root of 150, we did enter the cube root of 150 into our calculator and got the following answer to the cube root of 150 in decimal form:

∛150 ≈ 5.3133

You may also be interested to know that you can write the cube root of 150 with an exponent instead of a radical like this:

∛150 = 150^⅓

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Simplify Cube Root of 151
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* List of Perfect Cubes