Simplify Cube Root of 49

Here we will show you step-by-step how to simplify the cube root of 49. Before we continue, note that the cube root of 49 can be written as follows:

∛49

The ∛ symbol is called the radical sign. To simplify the cube root of 49 means to get the simplest radical form of ∛49.

We start by listing the factors of 49 like so:

1, 7, and 49

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 49 cannot be simplified.

Although we cannot simplify the cube root of 49, we did enter the cube root of 49 into our calculator and got the following answer to the cube root of 49 in decimal form:

∛49 ≈ 3.6593

You may also be interested to know that you can write the cube root of 49 with an exponent instead of a radical like this:

∛49 = 49^⅓

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* List of Perfect Cubes