Simplify Square Root of 2891

Here we will show you step-by-step how to simplify the square root of 2891. The square root of 2891 can be written as follows:


	√	2891

The √ symbol is called the radical sign. To simplify the square root of 2891 means to get the simplest radical form of √2891.

Step 1: List Factors
List the factors of 2891 like so:

1, 7, 49, 59, 413, 2891

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

1, 49

Step 3: Divide
Divide 2891 by the largest perfect square you found in the previous step:

2891 / 49 = 59

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 2891 in its simplest form:


7	√	59

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Decimal Form
Square Root of 2891 in Decimal form rounded to nearest 5 decimals:

53.76802

Exponent Form
Square Root of 2891 written with Exponent instead of Radical:

2891^½ = 7 x 59^½

Simplify Square Root of 2892
The answer to Simplify Square Root of 2891 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares