Simplify Square Root of 3280

Here we will show you step-by-step how to simplify the square root of 3280. The square root of 3280 can be written as follows:


	√	3280

The √ symbol is called the radical sign. To simplify the square root of 3280 means to get the simplest radical form of √3280.

Step 1: List Factors
List the factors of 3280 like so:

1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640, 3280

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

1, 4, 16

Step 3: Divide
Divide 3280 by the largest perfect square you found in the previous step:

3280 / 16 = 205

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3280 in its simplest form:


4	√	205

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Decimal Form
Square Root of 3280 in Decimal form rounded to nearest 5 decimals:

57.27128

Exponent Form
Square Root of 3280 written with Exponent instead of Radical:

3280^½ = 4 x 205^½

Simplify Square Root of 3281
The answer to Simplify Square Root of 3280 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares