Simplify Square Root of 9696

Here we will show you step-by-step how to simplify the square root of 9696. The square root of 9696 can be written as follows:


	√	9696

The √ symbol is called the radical sign. To simplify the square root of 9696 means to get the simplest radical form of √9696.

Step 1: List Factors
List the factors of 9696 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424, 3232, 4848, 9696

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

1, 4, 16

Step 3: Divide
Divide 9696 by the largest perfect square you found in the previous step:

9696 / 16 = 606

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9696 in its simplest form:


4	√	606

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Decimal Form
Square Root of 9696 in Decimal form rounded to nearest 5 decimals:

98.46827

Exponent Form
Square Root of 9696 written with Exponent instead of Radical:

9696^½ = 4 x 606^½

Simplify Square Root of 9697
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* List of Perfect Squares