Simplify Square Root of 8428

Here we will show you step-by-step how to simplify the square root of 8428. The square root of 8428 can be written as follows:


	√	8428

The √ symbol is called the radical sign. To simplify the square root of 8428 means to get the simplest radical form of √8428.

Step 1: List Factors
List the factors of 8428 like so:

1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 602, 1204, 2107, 4214, 8428

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

1, 4, 49, 196

Step 3: Divide
Divide 8428 by the largest perfect square you found in the previous step:

8428 / 196 = 43

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

√196 = 14

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8428 in its simplest form:


14	√	43

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

Decimal Form
Square Root of 8428 in Decimal form rounded to nearest 5 decimals:

91.80414

Exponent Form
Square Root of 8428 written with Exponent instead of Radical:

8428^½ = 14 x 43^½

Simplify Square Root of 8429
The answer to Simplify Square Root of 8428 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares