Simplify Square Root of 3792

Here we will show you step-by-step how to simplify the square root of 3792. The square root of 3792 can be written as follows:


	√	3792

The √ symbol is called the radical sign. To simplify the square root of 3792 means to get the simplest radical form of √3792.

Step 1: List Factors
List the factors of 3792 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 79, 158, 237, 316, 474, 632, 948, 1264, 1896, 3792

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

1, 4, 16

Step 3: Divide
Divide 3792 by the largest perfect square you found in the previous step:

3792 / 16 = 237

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3792 in its simplest form:


4	√	237

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Decimal Form
Square Root of 3792 in Decimal form rounded to nearest 5 decimals:

61.57922

Exponent Form
Square Root of 3792 written with Exponent instead of Radical:

3792^½ = 4 x 237^½

Simplify Square Root of 3793
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* List of Perfect Squares