Simplify Cube Root of 461

Here we will show you step-by-step how to simplify the cube root of 461. Before we continue, note that the cube root of 461 can be written as follows:

∛461

The ∛ symbol is called the radical sign. To simplify the cube root of 461 means to get the simplest radical form of ∛461.

We start by listing the factors of 461 like so:

1 and 461

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 461 cannot be simplified.

Although we cannot simplify the cube root of 461, we did enter the cube root of 461 into our calculator and got the following answer to the cube root of 461 in decimal form:

∛461 ≈ 7.7250

You may also be interested to know that you can write the cube root of 461 with an exponent instead of a radical like this:

∛461 = 461^⅓

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Simplify Cube Root of 462
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* List of Perfect Cubes