Simplify Square Root of 1024

Here we will show you step-by-step how to simplify the square root of 1024. The square root of 1024 can be written as follows:


	√	1024

The √ symbol is called the radical sign. To simplify the square root of 1024 means to get the simplest radical form of √1024.

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

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024

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

1, 4, 16, 64, 256, 1024

Since 1024 is on the list of perfect squares above, it means that 1024 is a perfect square.

That means you can simplify the square root of 1024 without the radical as follows:

32

Furthermore, you may also be interested to know that the square root of 1024 can be written with an Exponent like this:

1024^½

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Simplify Square Root of 1025
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* List of Perfect Squares