Simplify Square Root of 3184

Here we will show you step-by-step how to simplify the square root of 3184. The square root of 3184 can be written as follows:


	√	3184

The √ symbol is called the radical sign. To simplify the square root of 3184 means to get the simplest radical form of √3184.

Step 1: List Factors
List the factors of 3184 like so:

1, 2, 4, 8, 16, 199, 398, 796, 1592, 3184

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

1, 4, 16

Step 3: Divide
Divide 3184 by the largest perfect square you found in the previous step:

3184 / 16 = 199

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 3184 in its simplest form:


4	√	199

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

Decimal Form
Square Root of 3184 in Decimal form rounded to nearest 5 decimals:

56.42694

Exponent Form
Square Root of 3184 written with Exponent instead of Radical:

3184^½ = 4 x 199^½

Simplify Square Root of 3185
The answer to Simplify Square Root of 3184 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares