Simplify Square Root of 1764

Here we will show you step-by-step how to simplify the square root of 1764. The square root of 1764 can be written as follows:


	√	1764

The √ symbol is called the radical sign. To simplify the square root of 1764 means to get the simplest radical form of √1764.

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

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764

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

1, 4, 9, 36, 49, 196, 441, 1764

Since 1764 is on the list of perfect squares above, it means that 1764 is a perfect square.

That means you can simplify the square root of 1764 without the radical as follows:

42

Furthermore, you may also be interested to know that the square root of 1764 can be written with an Exponent like this:

1764^½

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Simplify Square Root of 1765
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* List of Perfect Squares