Simplify Square Root of 3136

Here we will show you step-by-step how to simplify the square root of 3136. The square root of 3136 can be written as follows:


	√	3136

The √ symbol is called the radical sign. To simplify the square root of 3136 means to get the simplest radical form of √3136.

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

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568, 3136

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

1, 4, 16, 49, 64, 196, 784, 3136

Since 3136 is on the list of perfect squares above, it means that 3136 is a perfect square.

That means you can simplify the square root of 3136 without the radical as follows:

56

Furthermore, you may also be interested to know that the square root of 3136 can be written with an Exponent like this:

3136^½

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Simplify Square Root of 3137
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* List of Perfect Squares