Simplify Square Root of 9768

Here we will show you step-by-step how to simplify the square root of 9768. The square root of 9768 can be written as follows:


	√	9768

The √ symbol is called the radical sign. To simplify the square root of 9768 means to get the simplest radical form of √9768.

Step 1: List Factors
List the factors of 9768 like so:

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 37, 44, 66, 74, 88, 111, 132, 148, 222, 264, 296, 407, 444, 814, 888, 1221, 1628, 2442, 3256, 4884, 9768

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

1, 4

Step 3: Divide
Divide 9768 by the largest perfect square you found in the previous step:

9768 / 4 = 2442

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 9768 in its simplest form:


2	√	2442

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Decimal Form
Square Root of 9768 in Decimal form rounded to nearest 5 decimals:

98.83319

Exponent Form
Square Root of 9768 written with Exponent instead of Radical:

9768^½ = 2 x 2442^½

Simplify Square Root of 9769
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* List of Perfect Squares