Simplify Square Root of 2842

Here we will show you step-by-step how to simplify the square root of 2842. The square root of 2842 can be written as follows:


	√	2842

The √ symbol is called the radical sign. To simplify the square root of 2842 means to get the simplest radical form of √2842.

Step 1: List Factors
List the factors of 2842 like so:

1, 2, 7, 14, 29, 49, 58, 98, 203, 406, 1421, 2842

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

1, 49

Step 3: Divide
Divide 2842 by the largest perfect square you found in the previous step:

2842 / 49 = 58

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

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2842 in its simplest form:


7	√	58

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Decimal Form
Square Root of 2842 in Decimal form rounded to nearest 5 decimals:

53.31041

Exponent Form
Square Root of 2842 written with Exponent instead of Radical:

2842^½ = 7 x 58^½

Simplify Square Root of 2843
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* List of Perfect Squares