Simplify Square Root of 3969

Here we will show you step-by-step how to simplify the square root of 3969. The square root of 3969 can be written as follows:


	√	3969

The √ symbol is called the radical sign. To simplify the square root of 3969 means to get the simplest radical form of √3969.

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

1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969

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

1, 9, 49, 81, 441, 3969

Since 3969 is on the list of perfect squares above, it means that 3969 is a perfect square.

That means you can simplify the square root of 3969 without the radical as follows:

63

Furthermore, you may also be interested to know that the square root of 3969 can be written with an Exponent like this:

3969^½

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* List of Perfect Squares