Simplify Square Root of 3680

Here we will show you step-by-step how to simplify the square root of 3680. The square root of 3680 can be written as follows:


	√	3680

The √ symbol is called the radical sign. To simplify the square root of 3680 means to get the simplest radical form of √3680.

Step 1: List Factors
List the factors of 3680 like so:

1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 736, 920, 1840, 3680

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

1, 4, 16

Step 3: Divide
Divide 3680 by the largest perfect square you found in the previous step:

3680 / 16 = 230

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 3680 in its simplest form:


4	√	230

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Decimal Form
Square Root of 3680 in Decimal form rounded to nearest 5 decimals:

60.663

Exponent Form
Square Root of 3680 written with Exponent instead of Radical:

3680^½ = 4 x 230^½

Simplify Square Root of 3681
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* List of Perfect Squares