Simplify Square Root of 9856

Here we will show you step-by-step how to simplify the square root of 9856. The square root of 9856 can be written as follows:


	√	9856

The √ symbol is called the radical sign. To simplify the square root of 9856 means to get the simplest radical form of √9856.

Step 1: List Factors
List the factors of 9856 like so:

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 128, 154, 176, 224, 308, 352, 448, 616, 704, 896, 1232, 1408, 2464, 4928, 9856

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

1, 4, 16, 64

Step 3: Divide
Divide 9856 by the largest perfect square you found in the previous step:

9856 / 64 = 154

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9856 in its simplest form:


8	√	154

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Decimal Form
Square Root of 9856 in Decimal form rounded to nearest 5 decimals:

99.27739

Exponent Form
Square Root of 9856 written with Exponent instead of Radical:

9856^½ = 8 x 154^½

Simplify Square Root of 9857
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* List of Perfect Squares