Simplify Square Root of 1089

Here we will show you step-by-step how to simplify the square root of 1089. The square root of 1089 can be written as follows:


	√	1089

The √ symbol is called the radical sign. To simplify the square root of 1089 means to get the simplest radical form of √1089.

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

1, 3, 9, 11, 33, 99, 121, 363, 1089

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

1, 9, 121, 1089

Since 1089 is on the list of perfect squares above, it means that 1089 is a perfect square.

That means you can simplify the square root of 1089 without the radical as follows:

33

Furthermore, you may also be interested to know that the square root of 1089 can be written with an Exponent like this:

1089^½

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* List of Perfect Squares