Simplify Square Root of 2166

Here we will show you step-by-step how to simplify the square root of 2166. The square root of 2166 can be written as follows:


	√	2166

The √ symbol is called the radical sign. To simplify the square root of 2166 means to get the simplest radical form of √2166.

Step 1: List Factors
List the factors of 2166 like so:

1, 2, 3, 6, 19, 38, 57, 114, 361, 722, 1083, 2166

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

1, 361

Step 3: Divide
Divide 2166 by the largest perfect square you found in the previous step:

2166 / 361 = 6

Step 4: Calculate
Calculate the square root of the largest perfect square:

√361 = 19

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2166 in its simplest form:


19	√	6

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Decimal Form
Square Root of 2166 in Decimal form rounded to nearest 5 decimals:

46.54031

Exponent Form
Square Root of 2166 written with Exponent instead of Radical:

2166^½ = 19 x 6^½

Simplify Square Root of 2167
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* List of Perfect Squares