Simplify Square Root of 256

Here we will show you step-by-step how to simplify the square root of 256. The square root of 256 can be written as follows:


	√	256

The √ symbol is called the radical sign. To simplify the square root of 256 means to get the simplest radical form of √256.

Step 1: List Factors
List the factors of 81 like so:

1, 2, 4, 8, 16, 32, 64, 128, 256

Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:

1, 4, 16, 64, 256

Since 256 is on the list of perfect squares above, it means that 256 is a perfect square.

That means you can simplify the square root of 256 without the radical as follows:

16

Furthermore, you may also be interested to know that the square root of 256 can be written with an Exponent like this:

256^½

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Simplify Square Root of 257
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* List of Perfect Squares