Simplify Square Root of 2872

Here we will show you step-by-step how to simplify the square root of 2872. The square root of 2872 can be written as follows:


	√	2872

The √ symbol is called the radical sign. To simplify the square root of 2872 means to get the simplest radical form of √2872.

Step 1: List Factors
List the factors of 2872 like so:

1, 2, 4, 8, 359, 718, 1436, 2872

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

1, 4

Step 3: Divide
Divide 2872 by the largest perfect square you found in the previous step:

2872 / 4 = 718

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 2872 in its simplest form:


2	√	718

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Decimal Form
Square Root of 2872 in Decimal form rounded to nearest 5 decimals:

53.59104

Exponent Form
Square Root of 2872 written with Exponent instead of Radical:

2872^½ = 2 x 718^½

Simplify Square Root of 2873
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* List of Perfect Squares