Simplify Square Root of 3080

Here we will show you step-by-step how to simplify the square root of 3080. The square root of 3080 can be written as follows:


	√	3080

The √ symbol is called the radical sign. To simplify the square root of 3080 means to get the simplest radical form of √3080.

Step 1: List Factors
List the factors of 3080 like so:

1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 88, 110, 140, 154, 220, 280, 308, 385, 440, 616, 770, 1540, 3080

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

1, 4

Step 3: Divide
Divide 3080 by the largest perfect square you found in the previous step:

3080 / 4 = 770

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 3080 in its simplest form:


2	√	770

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Decimal Form
Square Root of 3080 in Decimal form rounded to nearest 5 decimals:

55.49775

Exponent Form
Square Root of 3080 written with Exponent instead of Radical:

3080^½ = 2 x 770^½

Simplify Square Root of 3081
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* List of Perfect Squares