Simplify Square Root of 3696

Here we will show you step-by-step how to simplify the square root of 3696. The square root of 3696 can be written as follows:


	√	3696

The √ symbol is called the radical sign. To simplify the square root of 3696 means to get the simplest radical form of √3696.

Step 1: List Factors
List the factors of 3696 like so:

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 33, 42, 44, 48, 56, 66, 77, 84, 88, 112, 132, 154, 168, 176, 231, 264, 308, 336, 462, 528, 616, 924, 1232, 1848, 3696

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

1, 4, 16

Step 3: Divide
Divide 3696 by the largest perfect square you found in the previous step:

3696 / 16 = 231

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 3696 in its simplest form:


4	√	231

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Decimal Form
Square Root of 3696 in Decimal form rounded to nearest 5 decimals:

60.79474

Exponent Form
Square Root of 3696 written with Exponent instead of Radical:

3696^½ = 4 x 231^½

Simplify Square Root of 3697
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* List of Perfect Squares