Simplify Square Root of 2025

Here we will show you step-by-step how to simplify the square root of 2025. The square root of 2025 can be written as follows:


	√	2025

The √ symbol is called the radical sign. To simplify the square root of 2025 means to get the simplest radical form of √2025.

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

1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025

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

1, 9, 25, 81, 225, 2025

Since 2025 is on the list of perfect squares above, it means that 2025 is a perfect square.

That means you can simplify the square root of 2025 without the radical as follows:

45

Furthermore, you may also be interested to know that the square root of 2025 can be written with an Exponent like this:

2025^½

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* List of Perfect Squares