Simplify Square Root of 3172

Here we will show you step-by-step how to simplify the square root of 3172. The square root of 3172 can be written as follows:


	√	3172

The √ symbol is called the radical sign. To simplify the square root of 3172 means to get the simplest radical form of √3172.

Step 1: List Factors
List the factors of 3172 like so:

1, 2, 4, 13, 26, 52, 61, 122, 244, 793, 1586, 3172

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

1, 4

Step 3: Divide
Divide 3172 by the largest perfect square you found in the previous step:

3172 / 4 = 793

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 3172 in its simplest form:


2	√	793

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Decimal Form
Square Root of 3172 in Decimal form rounded to nearest 5 decimals:

56.32051

Exponent Form
Square Root of 3172 written with Exponent instead of Radical:

3172^½ = 2 x 793^½

Simplify Square Root of 3173
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* List of Perfect Squares