Simplify Square Root of 3208

Here we will show you step-by-step how to simplify the square root of 3208. The square root of 3208 can be written as follows:


	√	3208

The √ symbol is called the radical sign. To simplify the square root of 3208 means to get the simplest radical form of √3208.

Step 1: List Factors
List the factors of 3208 like so:

1, 2, 4, 8, 401, 802, 1604, 3208

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

1, 4

Step 3: Divide
Divide 3208 by the largest perfect square you found in the previous step:

3208 / 4 = 802

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 3208 in its simplest form:


2	√	802

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Decimal Form
Square Root of 3208 in Decimal form rounded to nearest 5 decimals:

56.63921

Exponent Form
Square Root of 3208 written with Exponent instead of Radical:

3208^½ = 2 x 802^½

Simplify Square Root of 3209
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* List of Perfect Squares