Simplify Square Root of 3768

Here we will show you step-by-step how to simplify the square root of 3768. The square root of 3768 can be written as follows:


	√	3768

The √ symbol is called the radical sign. To simplify the square root of 3768 means to get the simplest radical form of √3768.

Step 1: List Factors
List the factors of 3768 like so:

1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884, 3768

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

1, 4

Step 3: Divide
Divide 3768 by the largest perfect square you found in the previous step:

3768 / 4 = 942

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 3768 in its simplest form:


2	√	942

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Decimal Form
Square Root of 3768 in Decimal form rounded to nearest 5 decimals:

61.38404

Exponent Form
Square Root of 3768 written with Exponent instead of Radical:

3768^½ = 2 x 942^½

Simplify Square Root of 3769
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* List of Perfect Squares