Simplify Square Root of 400

Here we will show you step-by-step how to simplify the square root of 400. The square root of 400 can be written as follows:


	√	400

The √ symbol is called the radical sign. To simplify the square root of 400 means to get the simplest radical form of √400.

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

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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

1, 4, 16, 25, 100, 400

Since 400 is on the list of perfect squares above, it means that 400 is a perfect square.

That means you can simplify the square root of 400 without the radical as follows:

20

Furthermore, you may also be interested to know that the square root of 400 can be written with an Exponent like this:

400^½

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Simplify Square Root of 401
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* List of Perfect Squares