Simplify Square Root of 3180

Here we will show you step-by-step how to simplify the square root of 3180. The square root of 3180 can be written as follows:


	√	3180

The √ symbol is called the radical sign. To simplify the square root of 3180 means to get the simplest radical form of √3180.

Step 1: List Factors
List the factors of 3180 like so:

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 53, 60, 106, 159, 212, 265, 318, 530, 636, 795, 1060, 1590, 3180

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

1, 4

Step 3: Divide
Divide 3180 by the largest perfect square you found in the previous step:

3180 / 4 = 795

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 3180 in its simplest form:


2	√	795

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Decimal Form
Square Root of 3180 in Decimal form rounded to nearest 5 decimals:

56.39149

Exponent Form
Square Root of 3180 written with Exponent instead of Radical:

3180^½ = 2 x 795^½

Simplify Square Root of 3181
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* List of Perfect Squares