Simplify Square Root of 8404

Here we will show you step-by-step how to simplify the square root of 8404. The square root of 8404 can be written as follows:


	√	8404

The √ symbol is called the radical sign. To simplify the square root of 8404 means to get the simplest radical form of √8404.

Step 1: List Factors
List the factors of 8404 like so:

1, 2, 4, 11, 22, 44, 191, 382, 764, 2101, 4202, 8404

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

1, 4

Step 3: Divide
Divide 8404 by the largest perfect square you found in the previous step:

8404 / 4 = 2101

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 8404 in its simplest form:


2	√	2101

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

Decimal Form
Square Root of 8404 in Decimal form rounded to nearest 5 decimals:

91.67333

Exponent Form
Square Root of 8404 written with Exponent instead of Radical:

8404^½ = 2 x 2101^½

Simplify Square Root of 8405
The answer to Simplify Square Root of 8404 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares