Simplify Square Root of 2682

Here we will show you step-by-step how to simplify the square root of 2682. The square root of 2682 can be written as follows:


	√	2682

The √ symbol is called the radical sign. To simplify the square root of 2682 means to get the simplest radical form of √2682.

Step 1: List Factors
List the factors of 2682 like so:

1, 2, 3, 6, 9, 18, 149, 298, 447, 894, 1341, 2682

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

1, 9

Step 3: Divide
Divide 2682 by the largest perfect square you found in the previous step:

2682 / 9 = 298

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2682 in its simplest form:


3	√	298

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Decimal Form
Square Root of 2682 in Decimal form rounded to nearest 5 decimals:

51.78803

Exponent Form
Square Root of 2682 written with Exponent instead of Radical:

2682^½ = 3 x 298^½

Simplify Square Root of 2683
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* List of Perfect Squares