Simplify Square Root of 8272

Here we will show you step-by-step how to simplify the square root of 8272. The square root of 8272 can be written as follows:


	√	8272

The √ symbol is called the radical sign. To simplify the square root of 8272 means to get the simplest radical form of √8272.

Step 1: List Factors
List the factors of 8272 like so:

1, 2, 4, 8, 11, 16, 22, 44, 47, 88, 94, 176, 188, 376, 517, 752, 1034, 2068, 4136, 8272

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

1, 4, 16

Step 3: Divide
Divide 8272 by the largest perfect square you found in the previous step:

8272 / 16 = 517

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8272 in its simplest form:


4	√	517

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Decimal Form
Square Root of 8272 in Decimal form rounded to nearest 5 decimals:

90.95054

Exponent Form
Square Root of 8272 written with Exponent instead of Radical:

8272^½ = 4 x 517^½

Simplify Square Root of 8273
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* List of Perfect Squares