Simplify Square Root of 8736

Here we will show you step-by-step how to simplify the square root of 8736. The square root of 8736 can be written as follows:


	√	8736

The √ symbol is called the radical sign. To simplify the square root of 8736 means to get the simplest radical form of √8736.

Step 1: List Factors
List the factors of 8736 like so:

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32, 39, 42, 48, 52, 56, 78, 84, 91, 96, 104, 112, 156, 168, 182, 208, 224, 273, 312, 336, 364, 416, 546, 624, 672, 728, 1092, 1248, 1456, 2184, 2912, 4368, 8736

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

1, 4, 16

Step 3: Divide
Divide 8736 by the largest perfect square you found in the previous step:

8736 / 16 = 546

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 8736 in its simplest form:


4	√	546

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Decimal Form
Square Root of 8736 in Decimal form rounded to nearest 5 decimals:

93.46657

Exponent Form
Square Root of 8736 written with Exponent instead of Radical:

8736^½ = 4 x 546^½

Simplify Square Root of 8737
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* List of Perfect Squares