Simplify Square Root of 8120

Here we will show you step-by-step how to simplify the square root of 8120. The square root of 8120 can be written as follows:


	√	8120

The √ symbol is called the radical sign. To simplify the square root of 8120 means to get the simplest radical form of √8120.

Step 1: List Factors
List the factors of 8120 like so:

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 29, 35, 40, 56, 58, 70, 116, 140, 145, 203, 232, 280, 290, 406, 580, 812, 1015, 1160, 1624, 2030, 4060, 8120

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

1, 4

Step 3: Divide
Divide 8120 by the largest perfect square you found in the previous step:

8120 / 4 = 2030

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 8120 in its simplest form:


2	√	2030

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Decimal Form
Square Root of 8120 in Decimal form rounded to nearest 5 decimals:

90.11104

Exponent Form
Square Root of 8120 written with Exponent instead of Radical:

8120^½ = 2 x 2030^½

Simplify Square Root of 8121
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* List of Perfect Squares