Simplify Square Root of 36

Here we will show you step-by-step how to simplify the square root of 36. The square root of 36 can be written as follows:


	√	36

The √ symbol is called the radical sign. To simplify the square root of 36 means to get the simplest radical form of √36.

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

1, 2, 3, 4, 6, 9, 12, 18, 36

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

1, 4, 9, 36

Since 36 is on the list of perfect squares above, it means that 36 is a perfect square.

That means you can simplify the square root of 36 without the radical as follows:

6

Furthermore, you may also be interested to know that the square root of 36 can be written with an Exponent like this:

36^½

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* List of Perfect Squares