Simplify Square Root of 8820

Here we will show you step-by-step how to simplify the square root of 8820. The square root of 8820 can be written as follows:


	√	8820

The √ symbol is called the radical sign. To simplify the square root of 8820 means to get the simplest radical form of √8820.

Step 1: List Factors
List the factors of 8820 like so:

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 49, 60, 63, 70, 84, 90, 98, 105, 126, 140, 147, 180, 196, 210, 245, 252, 294, 315, 420, 441, 490, 588, 630, 735, 882, 980, 1260, 1470, 1764, 2205, 2940, 4410, 8820

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

1, 4, 9, 36, 49, 196, 441, 1764

Step 3: Divide
Divide 8820 by the largest perfect square you found in the previous step:

8820 / 1764 = 5

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

√1764 = 42

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8820 in its simplest form:


42	√	5

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

Decimal Form
Square Root of 8820 in Decimal form rounded to nearest 5 decimals:

93.91486

Exponent Form
Square Root of 8820 written with Exponent instead of Radical:

8820^½ = 42 x 5^½

Simplify Square Root of 8821
The answer to Simplify Square Root of 8820 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares