Simplify Square Root of 8800

Here we will show you step-by-step how to simplify the square root of 8800. The square root of 8800 can be written as follows:


	√	8800

The √ symbol is called the radical sign. To simplify the square root of 8800 means to get the simplest radical form of √8800.

Step 1: List Factors
List the factors of 8800 like so:

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 80, 88, 100, 110, 160, 176, 200, 220, 275, 352, 400, 440, 550, 800, 880, 1100, 1760, 2200, 4400, 8800

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

1, 4, 16, 25, 100, 400

Step 3: Divide
Divide 8800 by the largest perfect square you found in the previous step:

8800 / 400 = 22

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

√400 = 20

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8800 in its simplest form:


20	√	22

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

Decimal Form
Square Root of 8800 in Decimal form rounded to nearest 5 decimals:

93.80832

Exponent Form
Square Root of 8800 written with Exponent instead of Radical:

8800^½ = 20 x 22^½

Simplify Square Root of 8801
The answer to Simplify Square Root of 8800 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares