Simplify Square Root of 6688

Here we will show you step-by-step how to simplify the square root of 6688. The square root of 6688 can be written as follows:


	√	6688

The √ symbol is called the radical sign. To simplify the square root of 6688 means to get the simplest radical form of √6688.

Step 1: List Factors
List the factors of 6688 like so:

1, 2, 4, 8, 11, 16, 19, 22, 32, 38, 44, 76, 88, 152, 176, 209, 304, 352, 418, 608, 836, 1672, 3344, 6688

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

1, 4, 16

Step 3: Divide
Divide 6688 by the largest perfect square you found in the previous step:

6688 / 16 = 418

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 6688 in its simplest form:


4	√	418

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

Decimal Form
Square Root of 6688 in Decimal form rounded to nearest 5 decimals:

81.78019

Exponent Form
Square Root of 6688 written with Exponent instead of Radical:

6688^½ = 4 x 418^½

Simplify Square Root of 6689
The answer to Simplify Square Root of 6688 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares