Simplify Square Root of 4080

Here we will show you step-by-step how to simplify the square root of 4080. The square root of 4080 can be written as follows:


	√	4080

The √ symbol is called the radical sign. To simplify the square root of 4080 means to get the simplest radical form of √4080.

Step 1: List Factors
List the factors of 4080 like so:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080

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

1, 4, 16

Step 3: Divide
Divide 4080 by the largest perfect square you found in the previous step:

4080 / 16 = 255

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 4080 in its simplest form:


4	√	255

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Decimal Form
Square Root of 4080 in Decimal form rounded to nearest 5 decimals:

63.87488

Exponent Form
Square Root of 4080 written with Exponent instead of Radical:

4080^½ = 4 x 255^½

Simplify Square Root of 4081
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* List of Perfect Squares