Simplify Square Root of 9280

Here we will show you step-by-step how to simplify the square root of 9280. The square root of 9280 can be written as follows:


	√	9280

The √ symbol is called the radical sign. To simplify the square root of 9280 means to get the simplest radical form of √9280.

Step 1: List Factors
List the factors of 9280 like so:

1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 64, 80, 116, 145, 160, 232, 290, 320, 464, 580, 928, 1160, 1856, 2320, 4640, 9280

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

1, 4, 16, 64

Step 3: Divide
Divide 9280 by the largest perfect square you found in the previous step:

9280 / 64 = 145

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 9280 in its simplest form:


8	√	145

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Decimal Form
Square Root of 9280 in Decimal form rounded to nearest 5 decimals:

96.33276

Exponent Form
Square Root of 9280 written with Exponent instead of Radical:

9280^½ = 8 x 145^½

Simplify Square Root of 9281
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* List of Perfect Squares