Simplify Square Root of 9884

Here we will show you step-by-step how to simplify the square root of 9884. The square root of 9884 can be written as follows:


	√	9884

The √ symbol is called the radical sign. To simplify the square root of 9884 means to get the simplest radical form of √9884.

Step 1: List Factors
List the factors of 9884 like so:

1, 2, 4, 7, 14, 28, 353, 706, 1412, 2471, 4942, 9884

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

1, 4

Step 3: Divide
Divide 9884 by the largest perfect square you found in the previous step:

9884 / 4 = 2471

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 9884 in its simplest form:


2	√	2471

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Decimal Form
Square Root of 9884 in Decimal form rounded to nearest 5 decimals:

99.41831

Exponent Form
Square Root of 9884 written with Exponent instead of Radical:

9884^½ = 2 x 2471^½

Simplify Square Root of 9885
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* List of Perfect Squares