Simplify Square Root of 9684

Here we will show you step-by-step how to simplify the square root of 9684. The square root of 9684 can be written as follows:


	√	9684

The √ symbol is called the radical sign. To simplify the square root of 9684 means to get the simplest radical form of √9684.

Step 1: List Factors
List the factors of 9684 like so:

1, 2, 3, 4, 6, 9, 12, 18, 36, 269, 538, 807, 1076, 1614, 2421, 3228, 4842, 9684

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

1, 4, 9, 36

Step 3: Divide
Divide 9684 by the largest perfect square you found in the previous step:

9684 / 36 = 269

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 9684 in its simplest form:


6	√	269

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Decimal Form
Square Root of 9684 in Decimal form rounded to nearest 5 decimals:

98.40732

Exponent Form
Square Root of 9684 written with Exponent instead of Radical:

9684^½ = 6 x 269^½

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* List of Perfect Squares