Simplify Square Root of 8720

Here we will show you step-by-step how to simplify the square root of 8720. The square root of 8720 can be written as follows:


	√	8720

The √ symbol is called the radical sign. To simplify the square root of 8720 means to get the simplest radical form of √8720.

Step 1: List Factors
List the factors of 8720 like so:

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 109, 218, 436, 545, 872, 1090, 1744, 2180, 4360, 8720

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

1, 4, 16

Step 3: Divide
Divide 8720 by the largest perfect square you found in the previous step:

8720 / 16 = 545

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8720 in its simplest form:


4	√	545

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Decimal Form
Square Root of 8720 in Decimal form rounded to nearest 5 decimals:

93.38094

Exponent Form
Square Root of 8720 written with Exponent instead of Radical:

8720^½ = 4 x 545^½

Simplify Square Root of 8721
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* List of Perfect Squares