Simplify Square Root of 3984

Here we will show you step-by-step how to simplify the square root of 3984. The square root of 3984 can be written as follows:


	√	3984

The √ symbol is called the radical sign. To simplify the square root of 3984 means to get the simplest radical form of √3984.

Step 1: List Factors
List the factors of 3984 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 83, 166, 249, 332, 498, 664, 996, 1328, 1992, 3984

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

1, 4, 16

Step 3: Divide
Divide 3984 by the largest perfect square you found in the previous step:

3984 / 16 = 249

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 3984 in its simplest form:


4	√	249

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

Decimal Form
Square Root of 3984 in Decimal form rounded to nearest 5 decimals:

63.11894

Exponent Form
Square Root of 3984 written with Exponent instead of Radical:

3984^½ = 4 x 249^½

Simplify Square Root of 3985
The answer to Simplify Square Root of 3984 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares