Simplify Square Root of 2108

Here we will show you step-by-step how to simplify the square root of 2108. The square root of 2108 can be written as follows:


	√	2108

The √ symbol is called the radical sign. To simplify the square root of 2108 means to get the simplest radical form of √2108.

Step 1: List Factors
List the factors of 2108 like so:

1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054, 2108

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

1, 4

Step 3: Divide
Divide 2108 by the largest perfect square you found in the previous step:

2108 / 4 = 527

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 2108 in its simplest form:


2	√	527

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Decimal Form
Square Root of 2108 in Decimal form rounded to nearest 5 decimals:

45.91296

Exponent Form
Square Root of 2108 written with Exponent instead of Radical:

2108^½ = 2 x 527^½

Simplify Square Root of 2109
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* List of Perfect Squares