Here we will show you step-by-step how to simplify the cube root of 494. Before we continue, note that the cube root of 494 can be written as follows:
∛494
The ∛ symbol is called the radical sign. To simplify the cube root of 494 means to get the simplest radical form of ∛494.
We start by listing the factors of 494 like so:
1, 2, 13, 19, 26, 38, 247, and 494
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 494 cannot be simplified.
Although we cannot simplify the cube root of 494, we did enter the cube root of 494 into our calculator and got the following answer to the cube root of 494 in decimal form:
∛494 ≈ 7.9051
You may also be interested to know that you can write the cube root of 494 with an exponent instead of a radical like this:
∛494 = 494⅓
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Simplify Cube Root of 495
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* List of Perfect Cubes
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