Simplify Cube Root of 1162

Here we will show you step-by-step how to simplify the cube root of 1162. Before we continue, note that the cube root of 1162 can be written as follows:

∛1162

The ∛ symbol is called the radical sign. To simplify the cube root of 1162 means to get the simplest radical form of ∛1162.

We start by listing the factors of 1162 like so:

1, 2, 7, 14, 83, 166, 581, and 1162

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 1162 cannot be simplified.

Although we cannot simplify the cube root of 1162, we did enter the cube root of 1162 into our calculator and got the following answer to the cube root of 1162 in decimal form:

∛1162 ≈ 10.5132

You may also be interested to know that you can write the cube root of 1162 with an exponent instead of a radical like this:

∛1162 = 1162^⅓

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Simplify Cube Root of 1163
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* List of Perfect Cubes