Simplify Square Root of 6080

Here we will show you step-by-step how to simplify the square root of 6080. The square root of 6080 can be written as follows:


	√	6080

The √ symbol is called the radical sign. To simplify the square root of 6080 means to get the simplest radical form of √6080.

Step 1: List Factors
List the factors of 6080 like so:

1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 64, 76, 80, 95, 152, 160, 190, 304, 320, 380, 608, 760, 1216, 1520, 3040, 6080

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

1, 4, 16, 64

Step 3: Divide
Divide 6080 by the largest perfect square you found in the previous step:

6080 / 64 = 95

Step 4: Calculate
Calculate the square root of the largest perfect square:

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6080 in its simplest form:


8	√	95

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Decimal Form
Square Root of 6080 in Decimal form rounded to nearest 5 decimals:

77.97435

Exponent Form
Square Root of 6080 written with Exponent instead of Radical:

6080^½ = 8 x 95^½

Simplify Square Root of 6081
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* List of Perfect Squares