Here we will show you step-by-step how to simplify the cube root of 170. Before we continue, note that the cube root of 170 can be written as follows:
∛170
The ∛ symbol is called the radical sign. To simplify the cube root of 170 means to get the simplest radical form of ∛170.
We start by listing the factors of 170 like so:
1, 2, 5, 10, 17, 34, 85, and 170
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 170 cannot be simplified.
Although we cannot simplify the cube root of 170, we did enter the cube root of 170 into our calculator and got the following answer to the cube root of 170 in decimal form:
∛170 ≈ 5.5397
You may also be interested to know that you can write the cube root of 170 with an exponent instead of a radical like this:
∛170 = 170⅓
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Simplify Cube Root of 171
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* List of Perfect Cubes
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