Simplify Square Root of 8320

Here we will show you step-by-step how to simplify the square root of 8320. The square root of 8320 can be written as follows:


	√	8320

The √ symbol is called the radical sign. To simplify the square root of 8320 means to get the simplest radical form of √8320.

Step 1: List Factors
List the factors of 8320 like so:

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 128, 130, 160, 208, 260, 320, 416, 520, 640, 832, 1040, 1664, 2080, 4160, 8320

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

1, 4, 16, 64

Step 3: Divide
Divide 8320 by the largest perfect square you found in the previous step:

8320 / 64 = 130

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8320 in its simplest form:


8	√	130

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Decimal Form
Square Root of 8320 in Decimal form rounded to nearest 5 decimals:

91.21403

Exponent Form
Square Root of 8320 written with Exponent instead of Radical:

8320^½ = 8 x 130^½

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* List of Perfect Squares