Simplify Square Root of 1156

Here we will show you step-by-step how to simplify the square root of 1156. The square root of 1156 can be written as follows:


	√	1156

The √ symbol is called the radical sign. To simplify the square root of 1156 means to get the simplest radical form of √1156.

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

1, 2, 4, 17, 34, 68, 289, 578, 1156

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

1, 4, 289, 1156

Since 1156 is on the list of perfect squares above, it means that 1156 is a perfect square.

That means you can simplify the square root of 1156 without the radical as follows:

34

Furthermore, you may also be interested to know that the square root of 1156 can be written with an Exponent like this:

1156^½

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Simplify Square Root of 1157
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* List of Perfect Squares