Simplify Square Root of 5080

Here we will show you step-by-step how to simplify the square root of 5080. The square root of 5080 can be written as follows:


	√	5080

The √ symbol is called the radical sign. To simplify the square root of 5080 means to get the simplest radical form of √5080.

Step 1: List Factors
List the factors of 5080 like so:

1, 2, 4, 5, 8, 10, 20, 40, 127, 254, 508, 635, 1016, 1270, 2540, 5080

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

1, 4

Step 3: Divide
Divide 5080 by the largest perfect square you found in the previous step:

5080 / 4 = 1270

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 5080 in its simplest form:


2	√	1270

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Decimal Form
Square Root of 5080 in Decimal form rounded to nearest 5 decimals:

71.27412

Exponent Form
Square Root of 5080 written with Exponent instead of Radical:

5080^½ = 2 x 1270^½

Simplify Square Root of 5081
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* List of Perfect Squares