Simplify Square Root of 3156

Here we will show you step-by-step how to simplify the square root of 3156. The square root of 3156 can be written as follows:


	√	3156

The √ symbol is called the radical sign. To simplify the square root of 3156 means to get the simplest radical form of √3156.

Step 1: List Factors
List the factors of 3156 like so:

1, 2, 3, 4, 6, 12, 263, 526, 789, 1052, 1578, 3156

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

1, 4

Step 3: Divide
Divide 3156 by the largest perfect square you found in the previous step:

3156 / 4 = 789

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3156 in its simplest form:


2	√	789

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Decimal Form
Square Root of 3156 in Decimal form rounded to nearest 5 decimals:

56.17829

Exponent Form
Square Root of 3156 written with Exponent instead of Radical:

3156^½ = 2 x 789^½

Simplify Square Root of 3157
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* List of Perfect Squares