Simplify Square Root of 7228

Here we will show you step-by-step how to simplify the square root of 7228. The square root of 7228 can be written as follows:


	√	7228

The √ symbol is called the radical sign. To simplify the square root of 7228 means to get the simplest radical form of √7228.

Step 1: List Factors
List the factors of 7228 like so:

1, 2, 4, 13, 26, 52, 139, 278, 556, 1807, 3614, 7228

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

1, 4

Step 3: Divide
Divide 7228 by the largest perfect square you found in the previous step:

7228 / 4 = 1807

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7228 in its simplest form:


2	√	1807

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

Decimal Form
Square Root of 7228 in Decimal form rounded to nearest 5 decimals:

85.01765

Exponent Form
Square Root of 7228 written with Exponent instead of Radical:

7228^½ = 2 x 1807^½

Simplify Square Root of 7229
The answer to Simplify Square Root of 7228 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares