Simplify Square Root of 9728

Here we will show you step-by-step how to simplify the square root of 9728. The square root of 9728 can be written as follows:


	√	9728

The √ symbol is called the radical sign. To simplify the square root of 9728 means to get the simplest radical form of √9728.

Step 1: List Factors
List the factors of 9728 like so:

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 512, 608, 1216, 2432, 4864, 9728

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

1, 4, 16, 64, 256

Step 3: Divide
Divide 9728 by the largest perfect square you found in the previous step:

9728 / 256 = 38

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

√256 = 16

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9728 in its simplest form:


16	√	38

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Decimal Form
Square Root of 9728 in Decimal form rounded to nearest 5 decimals:

98.63062

Exponent Form
Square Root of 9728 written with Exponent instead of Radical:

9728^½ = 16 x 38^½

Simplify Square Root of 9729
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* List of Perfect Squares