Simplify Square Root of 2106

Here we will show you step-by-step how to simplify the square root of 2106. The square root of 2106 can be written as follows:


	√	2106

The √ symbol is called the radical sign. To simplify the square root of 2106 means to get the simplest radical form of √2106.

Step 1: List Factors
List the factors of 2106 like so:

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053, 2106

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

1, 9, 81

Step 3: Divide
Divide 2106 by the largest perfect square you found in the previous step:

2106 / 81 = 26

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

√81 = 9

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2106 in its simplest form:


9	√	26

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Decimal Form
Square Root of 2106 in Decimal form rounded to nearest 5 decimals:

45.89118

Exponent Form
Square Root of 2106 written with Exponent instead of Radical:

2106^½ = 9 x 26^½

Simplify Square Root of 2107
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* List of Perfect Squares