Simplify Square Root of 2080

Here we will show you step-by-step how to simplify the square root of 2080. The square root of 2080 can be written as follows:


	√	2080

The √ symbol is called the radical sign. To simplify the square root of 2080 means to get the simplest radical form of √2080.

Step 1: List Factors
List the factors of 2080 like so:

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104, 130, 160, 208, 260, 416, 520, 1040, 2080

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

1, 4, 16

Step 3: Divide
Divide 2080 by the largest perfect square you found in the previous step:

2080 / 16 = 130

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 2080 in its simplest form:


4	√	130

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Decimal Form
Square Root of 2080 in Decimal form rounded to nearest 5 decimals:

45.60702

Exponent Form
Square Root of 2080 written with Exponent instead of Radical:

2080^½ = 4 x 130^½

Simplify Square Root of 2081
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* List of Perfect Squares