Simplify Square Root of 396

Here we will show you step-by-step how to simplify the square root of 396. The square root of 396 can be written as follows:


	√	396

The √ symbol is called the radical sign. To simplify the square root of 396 means to get the simplest radical form of √396.

Step 1: List Factors
List the factors of 396 like so:

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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

1, 4, 9, 36

Step 3: Divide
Divide 396 by the largest perfect square you found in the previous step:

396 / 36 = 11

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 396 in its simplest form:


6	√	11

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Decimal Form
Square Root of 396 in Decimal form rounded to nearest 5 decimals:

19.89975

Exponent Form
Square Root of 396 written with Exponent instead of Radical:

396^½ = 6 x 11^½

Simplify Square Root of 397
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* List of Perfect Squares