Simplify Square Root of 3871

Here we will show you step-by-step how to simplify the square root of 3871. The square root of 3871 can be written as follows:


	√	3871

The √ symbol is called the radical sign. To simplify the square root of 3871 means to get the simplest radical form of √3871.

Step 1: List Factors
List the factors of 3871 like so:

1, 7, 49, 79, 553, 3871

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

1, 49

Step 3: Divide
Divide 3871 by the largest perfect square you found in the previous step:

3871 / 49 = 79

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

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3871 in its simplest form:


7	√	79

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Decimal Form
Square Root of 3871 in Decimal form rounded to nearest 5 decimals:

62.21736

Exponent Form
Square Root of 3871 written with Exponent instead of Radical:

3871^½ = 7 x 79^½

Simplify Square Root of 3872
The answer to Simplify Square Root of 3871 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares