Simplify Square Root of 3146

Here we will show you step-by-step how to simplify the square root of 3146. The square root of 3146 can be written as follows:


	√	3146

The √ symbol is called the radical sign. To simplify the square root of 3146 means to get the simplest radical form of √3146.

Step 1: List Factors
List the factors of 3146 like so:

1, 2, 11, 13, 22, 26, 121, 143, 242, 286, 1573, 3146

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

1, 121

Step 3: Divide
Divide 3146 by the largest perfect square you found in the previous step:

3146 / 121 = 26

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

√121 = 11

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3146 in its simplest form:


11	√	26

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Decimal Form
Square Root of 3146 in Decimal form rounded to nearest 5 decimals:

56.08921

Exponent Form
Square Root of 3146 written with Exponent instead of Radical:

3146^½ = 11 x 26^½

Simplify Square Root of 3147
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* List of Perfect Squares