Simplify Square Root of 6384

Here we will show you step-by-step how to simplify the square root of 6384. The square root of 6384 can be written as follows:


	√	6384

The √ symbol is called the radical sign. To simplify the square root of 6384 means to get the simplest radical form of √6384.

Step 1: List Factors
List the factors of 6384 like so:

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 19, 21, 24, 28, 38, 42, 48, 56, 57, 76, 84, 112, 114, 133, 152, 168, 228, 266, 304, 336, 399, 456, 532, 798, 912, 1064, 1596, 2128, 3192, 6384

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

1, 4, 16

Step 3: Divide
Divide 6384 by the largest perfect square you found in the previous step:

6384 / 16 = 399

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 6384 in its simplest form:


4	√	399

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

Decimal Form
Square Root of 6384 in Decimal form rounded to nearest 5 decimals:

79.89994

Exponent Form
Square Root of 6384 written with Exponent instead of Radical:

6384^½ = 4 x 399^½

Simplify Square Root of 6385
The answer to Simplify Square Root of 6384 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares