Simplify Square Root of 2322

Here we will show you step-by-step how to simplify the square root of 2322. The square root of 2322 can be written as follows:


	√	2322

The √ symbol is called the radical sign. To simplify the square root of 2322 means to get the simplest radical form of √2322.

Step 1: List Factors
List the factors of 2322 like so:

1, 2, 3, 6, 9, 18, 27, 43, 54, 86, 129, 258, 387, 774, 1161, 2322

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

1, 9

Step 3: Divide
Divide 2322 by the largest perfect square you found in the previous step:

2322 / 9 = 258

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2322 in its simplest form:


3	√	258

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Decimal Form
Square Root of 2322 in Decimal form rounded to nearest 5 decimals:

48.18714

Exponent Form
Square Root of 2322 written with Exponent instead of Radical:

2322^½ = 3 x 258^½

Simplify Square Root of 2323
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* List of Perfect Squares