Simplify Square Root of 8256

Here we will show you step-by-step how to simplify the square root of 8256. The square root of 8256 can be written as follows:


	√	8256

The √ symbol is called the radical sign. To simplify the square root of 8256 means to get the simplest radical form of √8256.

Step 1: List Factors
List the factors of 8256 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 129, 172, 192, 258, 344, 516, 688, 1032, 1376, 2064, 2752, 4128, 8256

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

1, 4, 16, 64

Step 3: Divide
Divide 8256 by the largest perfect square you found in the previous step:

8256 / 64 = 129

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 8256 in its simplest form:


8	√	129

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Decimal Form
Square Root of 8256 in Decimal form rounded to nearest 5 decimals:

90.86253

Exponent Form
Square Root of 8256 written with Exponent instead of Radical:

8256^½ = 8 x 129^½

Simplify Square Root of 8257
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* List of Perfect Squares