Simplify Square Root of 900

Here we will show you step-by-step how to simplify the square root of 900. The square root of 900 can be written as follows:


	√	900

The √ symbol is called the radical sign. To simplify the square root of 900 means to get the simplest radical form of √900.

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

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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

1, 4, 9, 25, 36, 100, 225, 900

Since 900 is on the list of perfect squares above, it means that 900 is a perfect square.

That means you can simplify the square root of 900 without the radical as follows:

30

Furthermore, you may also be interested to know that the square root of 900 can be written with an Exponent like this:

900^½

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* List of Perfect Squares