Here we will show you step-by-step how to simplify the cube root of 78. Before we continue, note that the cube root of 78 can be written as follows:
∛78
The ∛ symbol is called the radical sign. To simplify the cube root of 78 means to get the simplest radical form of ∛78.
We start by listing the factors of 78 like so:
1, 2, 3, 6, 13, 26, 39, and 78
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 78 cannot be simplified.
Although we cannot simplify the cube root of 78, we did enter the cube root of 78 into our calculator and got the following answer to the cube root of 78 in decimal form:
∛78 ≈ 4.2727
You may also be interested to know that you can write the cube root of 78 with an exponent instead of a radical like this:
∛78 = 78⅓
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Simplify Cube Root of 79
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* List of Perfect Cubes
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