Simplify Square Root of 7880

Here we will show you step-by-step how to simplify the square root of 7880. The square root of 7880 can be written as follows:


	√	7880

The √ symbol is called the radical sign. To simplify the square root of 7880 means to get the simplest radical form of √7880.

Step 1: List Factors
List the factors of 7880 like so:

1, 2, 4, 5, 8, 10, 20, 40, 197, 394, 788, 985, 1576, 1970, 3940, 7880

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

1, 4

Step 3: Divide
Divide 7880 by the largest perfect square you found in the previous step:

7880 / 4 = 1970

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 7880 in its simplest form:


2	√	1970

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Decimal Form
Square Root of 7880 in Decimal form rounded to nearest 5 decimals:

88.76936

Exponent Form
Square Root of 7880 written with Exponent instead of Radical:

7880^½ = 2 x 1970^½

Simplify Square Root of 7881
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* List of Perfect Squares