Simplify Square Root of 3708

Here we will show you step-by-step how to simplify the square root of 3708. The square root of 3708 can be written as follows:


	√	3708

The √ symbol is called the radical sign. To simplify the square root of 3708 means to get the simplest radical form of √3708.

Step 1: List Factors
List the factors of 3708 like so:

1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854, 3708

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

1, 4, 9, 36

Step 3: Divide
Divide 3708 by the largest perfect square you found in the previous step:

3708 / 36 = 103

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3708 in its simplest form:


6	√	103

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Decimal Form
Square Root of 3708 in Decimal form rounded to nearest 5 decimals:

60.89335

Exponent Form
Square Root of 3708 written with Exponent instead of Radical:

3708^½ = 6 x 103^½

Simplify Square Root of 3709
The answer to Simplify Square Root of 3708 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares