Simplify Square Root of 8740

Here we will show you step-by-step how to simplify the square root of 8740. The square root of 8740 can be written as follows:


	√	8740

The √ symbol is called the radical sign. To simplify the square root of 8740 means to get the simplest radical form of √8740.

Step 1: List Factors
List the factors of 8740 like so:

1, 2, 4, 5, 10, 19, 20, 23, 38, 46, 76, 92, 95, 115, 190, 230, 380, 437, 460, 874, 1748, 2185, 4370, 8740

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

1, 4

Step 3: Divide
Divide 8740 by the largest perfect square you found in the previous step:

8740 / 4 = 2185

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 8740 in its simplest form:


2	√	2185

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Decimal Form
Square Root of 8740 in Decimal form rounded to nearest 5 decimals:

93.48797

Exponent Form
Square Root of 8740 written with Exponent instead of Radical:

8740^½ = 2 x 2185^½

Simplify Square Root of 8741
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* List of Perfect Squares