Simplify Square Root of 3120

Here we will show you step-by-step how to simplify the square root of 3120. The square root of 3120 can be written as follows:


	√	3120

The √ symbol is called the radical sign. To simplify the square root of 3120 means to get the simplest radical form of √3120.

Step 1: List Factors
List the factors of 3120 like so:

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 39, 40, 48, 52, 60, 65, 78, 80, 104, 120, 130, 156, 195, 208, 240, 260, 312, 390, 520, 624, 780, 1040, 1560, 3120

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

1, 4, 16

Step 3: Divide
Divide 3120 by the largest perfect square you found in the previous step:

3120 / 16 = 195

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3120 in its simplest form:


4	√	195

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Decimal Form
Square Root of 3120 in Decimal form rounded to nearest 5 decimals:

55.85696

Exponent Form
Square Root of 3120 written with Exponent instead of Radical:

3120^½ = 4 x 195^½

Simplify Square Root of 3121
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* List of Perfect Squares