Simplify Square Root of 8640

Here we will show you step-by-step how to simplify the square root of 8640. The square root of 8640 can be written as follows:


	√	8640

The √ symbol is called the radical sign. To simplify the square root of 8640 means to get the simplest radical form of √8640.

Step 1: List Factors
List the factors of 8640 like so:

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 64, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 192, 216, 240, 270, 288, 320, 360, 432, 480, 540, 576, 720, 864, 960, 1080, 1440, 1728, 2160, 2880, 4320, 8640

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

1, 4, 9, 16, 36, 64, 144, 576

Step 3: Divide
Divide 8640 by the largest perfect square you found in the previous step:

8640 / 576 = 15

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

√576 = 24

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8640 in its simplest form:


24	√	15

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Decimal Form
Square Root of 8640 in Decimal form rounded to nearest 5 decimals:

92.9516

Exponent Form
Square Root of 8640 written with Exponent instead of Radical:

8640^½ = 24 x 15^½

Simplify Square Root of 8641
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* List of Perfect Squares