Simplify Square Root of 8500

Here we will show you step-by-step how to simplify the square root of 8500. The square root of 8500 can be written as follows:


	√	8500

The √ symbol is called the radical sign. To simplify the square root of 8500 means to get the simplest radical form of √8500.

Step 1: List Factors
List the factors of 8500 like so:

1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 125, 170, 250, 340, 425, 500, 850, 1700, 2125, 4250, 8500

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

1, 4, 25, 100

Step 3: Divide
Divide 8500 by the largest perfect square you found in the previous step:

8500 / 100 = 85

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

√100 = 10

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8500 in its simplest form:


10	√	85

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Decimal Form
Square Root of 8500 in Decimal form rounded to nearest 5 decimals:

92.19544

Exponent Form
Square Root of 8500 written with Exponent instead of Radical:

8500^½ = 10 x 85^½

Simplify Square Root of 8501
The answer to Simplify Square Root of 8500 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares