Simplify Square Root of 6656

Here we will show you step-by-step how to simplify the square root of 6656. The square root of 6656 can be written as follows:


	√	6656

The √ symbol is called the radical sign. To simplify the square root of 6656 means to get the simplest radical form of √6656.

Step 1: List Factors
List the factors of 6656 like so:

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 512, 832, 1664, 3328, 6656

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

1, 4, 16, 64, 256

Step 3: Divide
Divide 6656 by the largest perfect square you found in the previous step:

6656 / 256 = 26

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

√256 = 16

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6656 in its simplest form:


16	√	26

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

Decimal Form
Square Root of 6656 in Decimal form rounded to nearest 5 decimals:

81.58431

Exponent Form
Square Root of 6656 written with Exponent instead of Radical:

6656^½ = 16 x 26^½

Simplify Square Root of 6657
The answer to Simplify Square Root of 6656 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares