Simplify Square Root of 4880

Here we will show you step-by-step how to simplify the square root of 4880. The square root of 4880 can be written as follows:


	√	4880

The √ symbol is called the radical sign. To simplify the square root of 4880 means to get the simplest radical form of √4880.

Step 1: List Factors
List the factors of 4880 like so:

1, 2, 4, 5, 8, 10, 16, 20, 40, 61, 80, 122, 244, 305, 488, 610, 976, 1220, 2440, 4880

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

1, 4, 16

Step 3: Divide
Divide 4880 by the largest perfect square you found in the previous step:

4880 / 16 = 305

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 4880 in its simplest form:


4	√	305

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Decimal Form
Square Root of 4880 in Decimal form rounded to nearest 5 decimals:

69.857

Exponent Form
Square Root of 4880 written with Exponent instead of Radical:

4880^½ = 4 x 305^½

Simplify Square Root of 4881
The answer to Simplify Square Root of 4880 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares