Simplify Square Root of 8080

Here we will show you step-by-step how to simplify the square root of 8080. The square root of 8080 can be written as follows:


	√	8080

The √ symbol is called the radical sign. To simplify the square root of 8080 means to get the simplest radical form of √8080.

Step 1: List Factors
List the factors of 8080 like so:

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 101, 202, 404, 505, 808, 1010, 1616, 2020, 4040, 8080

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

1, 4, 16

Step 3: Divide
Divide 8080 by the largest perfect square you found in the previous step:

8080 / 16 = 505

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 8080 in its simplest form:


4	√	505

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Decimal Form
Square Root of 8080 in Decimal form rounded to nearest 5 decimals:

89.88882

Exponent Form
Square Root of 8080 written with Exponent instead of Radical:

8080^½ = 4 x 505^½

Simplify Square Root of 8081
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* List of Perfect Squares