Here we will show you step-by-step how to simplify the cube root of 169. Before we continue, note that the cube root of 169 can be written as follows:
∛169
The ∛ symbol is called the radical sign. To simplify the cube root of 169 means to get the simplest radical form of ∛169.
We start by listing the factors of 169 like so:
1, 13, and 169
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 169 cannot be simplified.
Although we cannot simplify the cube root of 169, we did enter the cube root of 169 into our calculator and got the following answer to the cube root of 169 in decimal form:
∛169 ≈ 5.5288
You may also be interested to know that you can write the cube root of 169 with an exponent instead of a radical like this:
∛169 = 169⅓
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Simplify Cube Root of 170
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* List of Perfect Cubes
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