Simplify Square Root of 9996

Here we will show you step-by-step how to simplify the square root of 9996. The square root of 9996 can be written as follows:


	√	9996

The √ symbol is called the radical sign. To simplify the square root of 9996 means to get the simplest radical form of √9996.

Step 1: List Factors
List the factors of 9996 like so:

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 357, 476, 588, 714, 833, 1428, 1666, 2499, 3332, 4998, 9996

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

1, 4, 49, 196

Step 3: Divide
Divide 9996 by the largest perfect square you found in the previous step:

9996 / 196 = 51

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

√196 = 14

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9996 in its simplest form:


14	√	51

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Decimal Form
Square Root of 9996 in Decimal form rounded to nearest 5 decimals:

99.98

Exponent Form
Square Root of 9996 written with Exponent instead of Radical:

9996^½ = 14 x 51^½

Simplify Square Root of 9997
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* List of Perfect Squares