Simplify Square Root of 3808

Here we will show you step-by-step how to simplify the square root of 3808. The square root of 3808 can be written as follows:


	√	3808

The √ symbol is called the radical sign. To simplify the square root of 3808 means to get the simplest radical form of √3808.

Step 1: List Factors
List the factors of 3808 like so:

1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904, 3808

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

1, 4, 16

Step 3: Divide
Divide 3808 by the largest perfect square you found in the previous step:

3808 / 16 = 238

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 3808 in its simplest form:


4	√	238

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Decimal Form
Square Root of 3808 in Decimal form rounded to nearest 5 decimals:

61.70899

Exponent Form
Square Root of 3808 written with Exponent instead of Radical:

3808^½ = 4 x 238^½

Simplify Square Root of 3809
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* List of Perfect Squares