Simplify Square Root of 2332

Here we will show you step-by-step how to simplify the square root of 2332. The square root of 2332 can be written as follows:


	√	2332

The √ symbol is called the radical sign. To simplify the square root of 2332 means to get the simplest radical form of √2332.

Step 1: List Factors
List the factors of 2332 like so:

1, 2, 4, 11, 22, 44, 53, 106, 212, 583, 1166, 2332

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

1, 4

Step 3: Divide
Divide 2332 by the largest perfect square you found in the previous step:

2332 / 4 = 583

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 2332 in its simplest form:


2	√	583

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Decimal Form
Square Root of 2332 in Decimal form rounded to nearest 5 decimals:

48.29079

Exponent Form
Square Root of 2332 written with Exponent instead of Radical:

2332^½ = 2 x 583^½

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* List of Perfect Squares