Simplify Square Root of 8730

Here we will show you step-by-step how to simplify the square root of 8730. The square root of 8730 can be written as follows:


	√	8730

The √ symbol is called the radical sign. To simplify the square root of 8730 means to get the simplest radical form of √8730.

Step 1: List Factors
List the factors of 8730 like so:

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 97, 194, 291, 485, 582, 873, 970, 1455, 1746, 2910, 4365, 8730

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

1, 9

Step 3: Divide
Divide 8730 by the largest perfect square you found in the previous step:

8730 / 9 = 970

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8730 in its simplest form:


3	√	970

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Decimal Form
Square Root of 8730 in Decimal form rounded to nearest 5 decimals:

93.43447

Exponent Form
Square Root of 8730 written with Exponent instead of Radical:

8730^½ = 3 x 970^½

Simplify Square Root of 8731
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* List of Perfect Squares