Simplify Square Root of 3880

Here we will show you step-by-step how to simplify the square root of 3880. The square root of 3880 can be written as follows:


	√	3880

The √ symbol is called the radical sign. To simplify the square root of 3880 means to get the simplest radical form of √3880.

Step 1: List Factors
List the factors of 3880 like so:

1, 2, 4, 5, 8, 10, 20, 40, 97, 194, 388, 485, 776, 970, 1940, 3880

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

1, 4

Step 3: Divide
Divide 3880 by the largest perfect square you found in the previous step:

3880 / 4 = 970

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3880 in its simplest form:


2	√	970

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Decimal Form
Square Root of 3880 in Decimal form rounded to nearest 5 decimals:

62.28965

Exponent Form
Square Root of 3880 written with Exponent instead of Radical:

3880^½ = 2 x 970^½

Simplify Square Root of 3881
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* List of Perfect Squares