Simplify Square Root of 2871

Here we will show you step-by-step how to simplify the square root of 2871. The square root of 2871 can be written as follows:


	√	2871

The √ symbol is called the radical sign. To simplify the square root of 2871 means to get the simplest radical form of √2871.

Step 1: List Factors
List the factors of 2871 like so:

1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 957, 2871

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

1, 9

Step 3: Divide
Divide 2871 by the largest perfect square you found in the previous step:

2871 / 9 = 319

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2871 in its simplest form:


3	√	319

Simplify Square Root Calculator
Please enter another Square Root for us to simplify:

Decimal Form
Square Root of 2871 in Decimal form rounded to nearest 5 decimals:

53.58171

Exponent Form
Square Root of 2871 written with Exponent instead of Radical:

2871^½ = 3 x 319^½

Simplify Square Root of 2872
The answer to Simplify Square Root of 2871 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares