Simplify Cube Root of 674

Here we will show you step-by-step how to simplify the cube root of 674. Before we continue, note that the cube root of 674 can be written as follows:

∛674

The ∛ symbol is called the radical sign. To simplify the cube root of 674 means to get the simplest radical form of ∛674.

We start by listing the factors of 674 like so:

1, 2, 337, and 674

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 674 cannot be simplified.

Although we cannot simplify the cube root of 674, we did enter the cube root of 674 into our calculator and got the following answer to the cube root of 674 in decimal form:

∛674 ≈ 8.7677

You may also be interested to know that you can write the cube root of 674 with an exponent instead of a radical like this:

∛674 = 674^⅓

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* List of Perfect Cubes