Simplify Square Root of 5180

Here we will show you step-by-step how to simplify the square root of 5180. The square root of 5180 can be written as follows:


	√	5180

The √ symbol is called the radical sign. To simplify the square root of 5180 means to get the simplest radical form of √5180.

Step 1: List Factors
List the factors of 5180 like so:

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 37, 70, 74, 140, 148, 185, 259, 370, 518, 740, 1036, 1295, 2590, 5180

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

1, 4

Step 3: Divide
Divide 5180 by the largest perfect square you found in the previous step:

5180 / 4 = 1295

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 5180 in its simplest form:


2	√	1295

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Decimal Form
Square Root of 5180 in Decimal form rounded to nearest 5 decimals:

71.97222

Exponent Form
Square Root of 5180 written with Exponent instead of Radical:

5180^½ = 2 x 1295^½

Simplify Square Root of 5181
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* List of Perfect Squares