Simplify Square Root of 864

Here we will show you step-by-step how to simplify the square root of 864. The square root of 864 can be written as follows:


	√	864

The √ symbol is called the radical sign. To simplify the square root of 864 means to get the simplest radical form of √864.

Step 1: List Factors
List the factors of 864 like so:

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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

1, 4, 9, 16, 36, 144

Step 3: Divide
Divide 864 by the largest perfect square you found in the previous step:

864 / 144 = 6

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

√144 = 12

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 864 in its simplest form:


12	√	6

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Decimal Form
Square Root of 864 in Decimal form rounded to nearest 5 decimals:

29.39388

Exponent Form
Square Root of 864 written with Exponent instead of Radical:

864^½ = 12 x 6^½

Simplify Square Root of 865
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* List of Perfect Squares