Simplify Square Root of 8872

Here we will show you step-by-step how to simplify the square root of 8872. The square root of 8872 can be written as follows:


	√	8872

The √ symbol is called the radical sign. To simplify the square root of 8872 means to get the simplest radical form of √8872.

Step 1: List Factors
List the factors of 8872 like so:

1, 2, 4, 8, 1109, 2218, 4436, 8872

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

1, 4

Step 3: Divide
Divide 8872 by the largest perfect square you found in the previous step:

8872 / 4 = 2218

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 8872 in its simplest form:


2	√	2218

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Decimal Form
Square Root of 8872 in Decimal form rounded to nearest 5 decimals:

94.19129

Exponent Form
Square Root of 8872 written with Exponent instead of Radical:

8872^½ = 2 x 2218^½

Simplify Square Root of 8873
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* List of Perfect Squares