Simplify Square Root of 872

Here we will show you step-by-step how to simplify the square root of 872. The square root of 872 can be written as follows:


	√	872

The √ symbol is called the radical sign. To simplify the square root of 872 means to get the simplest radical form of √872.

Step 1: List Factors
List the factors of 872 like so:

1, 2, 4, 8, 109, 218, 436, 872

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

1, 4

Step 3: Divide
Divide 872 by the largest perfect square you found in the previous step:

872 / 4 = 218

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 872 in its simplest form:


2	√	218

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Decimal Form
Square Root of 872 in Decimal form rounded to nearest 5 decimals:

29.52965

Exponent Form
Square Root of 872 written with Exponent instead of Radical:

872^½ = 2 x 218^½

Simplify Square Root of 873
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* List of Perfect Squares