Simplify Square Root of 8728

Here we will show you step-by-step how to simplify the square root of 8728. The square root of 8728 can be written as follows:


	√	8728

The √ symbol is called the radical sign. To simplify the square root of 8728 means to get the simplest radical form of √8728.

Step 1: List Factors
List the factors of 8728 like so:

1, 2, 4, 8, 1091, 2182, 4364, 8728

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

1, 4

Step 3: Divide
Divide 8728 by the largest perfect square you found in the previous step:

8728 / 4 = 2182

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8728 in its simplest form:


2	√	2182

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Decimal Form
Square Root of 8728 in Decimal form rounded to nearest 5 decimals:

93.42377

Exponent Form
Square Root of 8728 written with Exponent instead of Radical:

8728^½ = 2 x 2182^½

Simplify Square Root of 8729
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* List of Perfect Squares