Simplify Square Root of 2172

Here we will show you step-by-step how to simplify the square root of 2172. The square root of 2172 can be written as follows:


	√	2172

The √ symbol is called the radical sign. To simplify the square root of 2172 means to get the simplest radical form of √2172.

Step 1: List Factors
List the factors of 2172 like so:

1, 2, 3, 4, 6, 12, 181, 362, 543, 724, 1086, 2172

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

1, 4

Step 3: Divide
Divide 2172 by the largest perfect square you found in the previous step:

2172 / 4 = 543

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 2172 in its simplest form:


2	√	543

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Decimal Form
Square Root of 2172 in Decimal form rounded to nearest 5 decimals:

46.60472

Exponent Form
Square Root of 2172 written with Exponent instead of Radical:

2172^½ = 2 x 543^½

Simplify Square Root of 2173
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* List of Perfect Squares