Simplify Square Root of 8512

Here we will show you step-by-step how to simplify the square root of 8512. The square root of 8512 can be written as follows:


	√	8512

The √ symbol is called the radical sign. To simplify the square root of 8512 means to get the simplest radical form of √8512.

Step 1: List Factors
List the factors of 8512 like so:

1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 64, 76, 112, 133, 152, 224, 266, 304, 448, 532, 608, 1064, 1216, 2128, 4256, 8512

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

1, 4, 16, 64

Step 3: Divide
Divide 8512 by the largest perfect square you found in the previous step:

8512 / 64 = 133

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 8512 in its simplest form:


8	√	133

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Decimal Form
Square Root of 8512 in Decimal form rounded to nearest 5 decimals:

92.2605

Exponent Form
Square Root of 8512 written with Exponent instead of Radical:

8512^½ = 8 x 133^½

Simplify Square Root of 8513
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* List of Perfect Squares