Simplify Square Root of 361

Here we will show you step-by-step how to simplify the square root of 361. The square root of 361 can be written as follows:


	√	361

The √ symbol is called the radical sign. To simplify the square root of 361 means to get the simplest radical form of √361.

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

1, 19, 361

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

1, 361

Since 361 is on the list of perfect squares above, it means that 361 is a perfect square.

That means you can simplify the square root of 361 without the radical as follows:

19

Furthermore, you may also be interested to know that the square root of 361 can be written with an Exponent like this:

361^½

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* List of Perfect Squares