Simplify Square Root of 3144

Here we will show you step-by-step how to simplify the square root of 3144. The square root of 3144 can be written as follows:


	√	3144

The √ symbol is called the radical sign. To simplify the square root of 3144 means to get the simplest radical form of √3144.

Step 1: List Factors
List the factors of 3144 like so:

1, 2, 3, 4, 6, 8, 12, 24, 131, 262, 393, 524, 786, 1048, 1572, 3144

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

1, 4

Step 3: Divide
Divide 3144 by the largest perfect square you found in the previous step:

3144 / 4 = 786

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 3144 in its simplest form:


2	√	786

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Decimal Form
Square Root of 3144 in Decimal form rounded to nearest 5 decimals:

56.07138

Exponent Form
Square Root of 3144 written with Exponent instead of Radical:

3144^½ = 2 x 786^½

Simplify Square Root of 3145
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* List of Perfect Squares