Simplify Square Root of 9984

Here we will show you step-by-step how to simplify the square root of 9984. The square root of 9984 can be written as follows:


	√	9984

The √ symbol is called the radical sign. To simplify the square root of 9984 means to get the simplest radical form of √9984.

Step 1: List Factors
List the factors of 9984 like so:

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 256, 312, 384, 416, 624, 768, 832, 1248, 1664, 2496, 3328, 4992, 9984

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

1, 4, 16, 64, 256

Step 3: Divide
Divide 9984 by the largest perfect square you found in the previous step:

9984 / 256 = 39

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

√256 = 16

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9984 in its simplest form:


16	√	39

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Decimal Form
Square Root of 9984 in Decimal form rounded to nearest 5 decimals:

99.91997

Exponent Form
Square Root of 9984 written with Exponent instead of Radical:

9984^½ = 16 x 39^½

Simplify Square Root of 9985
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* List of Perfect Squares