Simplify Square Root of 3640

Here we will show you step-by-step how to simplify the square root of 3640. The square root of 3640 can be written as follows:


	√	3640

The √ symbol is called the radical sign. To simplify the square root of 3640 means to get the simplest radical form of √3640.

Step 1: List Factors
List the factors of 3640 like so:

1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820, 3640

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

1, 4

Step 3: Divide
Divide 3640 by the largest perfect square you found in the previous step:

3640 / 4 = 910

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 3640 in its simplest form:


2	√	910

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Decimal Form
Square Root of 3640 in Decimal form rounded to nearest 5 decimals:

60.33241

Exponent Form
Square Root of 3640 written with Exponent instead of Radical:

3640^½ = 2 x 910^½

Simplify Square Root of 3641
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* List of Perfect Squares