Simplify Square Root of 996

Here we will show you step-by-step how to simplify the square root of 996. The square root of 996 can be written as follows:


	√	996

The √ symbol is called the radical sign. To simplify the square root of 996 means to get the simplest radical form of √996.

Step 1: List Factors
List the factors of 996 like so:

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

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

1, 4

Step 3: Divide
Divide 996 by the largest perfect square you found in the previous step:

996 / 4 = 249

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 996 in its simplest form:


2	√	249

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Decimal Form
Square Root of 996 in Decimal form rounded to nearest 5 decimals:

31.55947

Exponent Form
Square Root of 996 written with Exponent instead of Radical:

996^½ = 2 x 249^½

Simplify Square Root of 997
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* List of Perfect Squares