Simplify Square Root of 9680

Here we will show you step-by-step how to simplify the square root of 9680. The square root of 9680 can be written as follows:


	√	9680

The √ symbol is called the radical sign. To simplify the square root of 9680 means to get the simplest radical form of √9680.

Step 1: List Factors
List the factors of 9680 like so:

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 121, 176, 220, 242, 440, 484, 605, 880, 968, 1210, 1936, 2420, 4840, 9680

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

1, 4, 16, 121, 484, 1936

Step 3: Divide
Divide 9680 by the largest perfect square you found in the previous step:

9680 / 1936 = 5

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

√1936 = 44

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9680 in its simplest form:


44	√	5

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Decimal Form
Square Root of 9680 in Decimal form rounded to nearest 5 decimals:

98.38699

Exponent Form
Square Root of 9680 written with Exponent instead of Radical:

9680^½ = 44 x 5^½

Simplify Square Root of 9681
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* List of Perfect Squares