Simplify Square Root of 3141

Here we will show you step-by-step how to simplify the square root of 3141. The square root of 3141 can be written as follows:


	√	3141

The √ symbol is called the radical sign. To simplify the square root of 3141 means to get the simplest radical form of √3141.

Step 1: List Factors
List the factors of 3141 like so:

1, 3, 9, 349, 1047, 3141

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

1, 9

Step 3: Divide
Divide 3141 by the largest perfect square you found in the previous step:

3141 / 9 = 349

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 3141 in its simplest form:


3	√	349

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Decimal Form
Square Root of 3141 in Decimal form rounded to nearest 5 decimals:

56.04463

Exponent Form
Square Root of 3141 written with Exponent instead of Radical:

3141^½ = 3 x 349^½

Simplify Square Root of 3142
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* List of Perfect Squares