Simplify Square Root of 2328

Here we will show you step-by-step how to simplify the square root of 2328. The square root of 2328 can be written as follows:


	√	2328

The √ symbol is called the radical sign. To simplify the square root of 2328 means to get the simplest radical form of √2328.

Step 1: List Factors
List the factors of 2328 like so:

1, 2, 3, 4, 6, 8, 12, 24, 97, 194, 291, 388, 582, 776, 1164, 2328

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

1, 4

Step 3: Divide
Divide 2328 by the largest perfect square you found in the previous step:

2328 / 4 = 582

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2328 in its simplest form:


2	√	582

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Decimal Form
Square Root of 2328 in Decimal form rounded to nearest 5 decimals:

48.24935

Exponent Form
Square Root of 2328 written with Exponent instead of Radical:

2328^½ = 2 x 582^½

Simplify Square Root of 2329
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* List of Perfect Squares