Simplify Square Root of 3852

Here we will show you step-by-step how to simplify the square root of 3852. The square root of 3852 can be written as follows:


	√	3852

The √ symbol is called the radical sign. To simplify the square root of 3852 means to get the simplest radical form of √3852.

Step 1: List Factors
List the factors of 3852 like so:

1, 2, 3, 4, 6, 9, 12, 18, 36, 107, 214, 321, 428, 642, 963, 1284, 1926, 3852

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

1, 4, 9, 36

Step 3: Divide
Divide 3852 by the largest perfect square you found in the previous step:

3852 / 36 = 107

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3852 in its simplest form:


6	√	107

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Decimal Form
Square Root of 3852 in Decimal form rounded to nearest 5 decimals:

62.06448

Exponent Form
Square Root of 3852 written with Exponent instead of Radical:

3852^½ = 6 x 107^½

Simplify Square Root of 3853
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* List of Perfect Squares