Simplify Square Root of 1323

Here we will show you step-by-step how to simplify the square root of 1323. The square root of 1323 can be written as follows:


	√	1323

The √ symbol is called the radical sign. To simplify the square root of 1323 means to get the simplest radical form of √1323.

Step 1: List Factors
List the factors of 1323 like so:

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

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

1, 9, 49, 441

Step 3: Divide
Divide 1323 by the largest perfect square you found in the previous step:

1323 / 441 = 3

Step 4: Calculate
Calculate the square root of the largest perfect square:

√441 = 21

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1323 in its simplest form:


21	√	3

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Decimal Form
Square Root of 1323 in Decimal form rounded to nearest 5 decimals:

36.37307

Exponent Form
Square Root of 1323 written with Exponent instead of Radical:

1323^½ = 21 x 3^½

Simplify Square Root of 1324
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* List of Perfect Squares