Simplify Cube Root of 1461

Here we will show you step-by-step how to simplify the cube root of 1461. Before we continue, note that the cube root of 1461 can be written as follows:

∛1461

The ∛ symbol is called the radical sign. To simplify the cube root of 1461 means to get the simplest radical form of ∛1461.

We start by listing the factors of 1461 like so:

1, 3, 487, and 1461

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 1461 cannot be simplified.

Although we cannot simplify the cube root of 1461, we did enter the cube root of 1461 into our calculator and got the following answer to the cube root of 1461 in decimal form:

∛1461 ≈ 11.3471

You may also be interested to know that you can write the cube root of 1461 with an exponent instead of a radical like this:

∛1461 = 1461^⅓

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* List of Perfect Cubes