Simplify Square Root of 8722

Here we will show you step-by-step how to simplify the square root of 8722. The square root of 8722 can be written as follows:


	√	8722

The √ symbol is called the radical sign. To simplify the square root of 8722 means to get the simplest radical form of √8722.

Step 1: List Factors
List the factors of 8722 like so:

1, 2, 7, 14, 49, 89, 98, 178, 623, 1246, 4361, 8722

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

1, 49

Step 3: Divide
Divide 8722 by the largest perfect square you found in the previous step:

8722 / 49 = 178

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

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8722 in its simplest form:


7	√	178

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Decimal Form
Square Root of 8722 in Decimal form rounded to nearest 5 decimals:

93.39165

Exponent Form
Square Root of 8722 written with Exponent instead of Radical:

8722^½ = 7 x 178^½

Simplify Square Root of 8723
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* List of Perfect Squares