Simplify Square Root of 4096

Here we will show you step-by-step how to simplify the square root of 4096. The square root of 4096 can be written as follows:


	√	4096

The √ symbol is called the radical sign. To simplify the square root of 4096 means to get the simplest radical form of √4096.

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

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096

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

1, 4, 16, 64, 256, 1024, 4096

Since 4096 is on the list of perfect squares above, it means that 4096 is a perfect square.

That means you can simplify the square root of 4096 without the radical as follows:

64

Furthermore, you may also be interested to know that the square root of 4096 can be written with an Exponent like this:

4096^½

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* List of Perfect Squares