Simplify Square Root of 1600

Here we will show you step-by-step how to simplify the square root of 1600. The square root of 1600 can be written as follows:


	√	1600

The √ symbol is called the radical sign. To simplify the square root of 1600 means to get the simplest radical form of √1600.

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

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800, 1600

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

1, 4, 16, 25, 64, 100, 400, 1600

Since 1600 is on the list of perfect squares above, it means that 1600 is a perfect square.

That means you can simplify the square root of 1600 without the radical as follows:

40

Furthermore, you may also be interested to know that the square root of 1600 can be written with an Exponent like this:

1600^½

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* List of Perfect Squares