Simplify Square Root of 8204

Here we will show you step-by-step how to simplify the square root of 8204. The square root of 8204 can be written as follows:


	√	8204

The √ symbol is called the radical sign. To simplify the square root of 8204 means to get the simplest radical form of √8204.

Step 1: List Factors
List the factors of 8204 like so:

1, 2, 4, 7, 14, 28, 293, 586, 1172, 2051, 4102, 8204

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

1, 4

Step 3: Divide
Divide 8204 by the largest perfect square you found in the previous step:

8204 / 4 = 2051

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 8204 in its simplest form:


2	√	2051

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Decimal Form
Square Root of 8204 in Decimal form rounded to nearest 5 decimals:

90.57593

Exponent Form
Square Root of 8204 written with Exponent instead of Radical:

8204^½ = 2 x 2051^½

Simplify Square Root of 8205
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* List of Perfect Squares