Simplify Square Root of 2352

Here we will show you step-by-step how to simplify the square root of 2352. The square root of 2352 can be written as follows:


	√	2352

The √ symbol is called the radical sign. To simplify the square root of 2352 means to get the simplest radical form of √2352.

Step 1: List Factors
List the factors of 2352 like so:

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 49, 56, 84, 98, 112, 147, 168, 196, 294, 336, 392, 588, 784, 1176, 2352

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

1, 4, 16, 49, 196, 784

Step 3: Divide
Divide 2352 by the largest perfect square you found in the previous step:

2352 / 784 = 3

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

√784 = 28

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2352 in its simplest form:


28	√	3

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Decimal Form
Square Root of 2352 in Decimal form rounded to nearest 5 decimals:

48.49742

Exponent Form
Square Root of 2352 written with Exponent instead of Radical:

2352^½ = 28 x 3^½

Simplify Square Root of 2353
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* List of Perfect Squares