Simplify Square Root of 8688

Here we will show you step-by-step how to simplify the square root of 8688. The square root of 8688 can be written as follows:


	√	8688

The √ symbol is called the radical sign. To simplify the square root of 8688 means to get the simplest radical form of √8688.

Step 1: List Factors
List the factors of 8688 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 181, 362, 543, 724, 1086, 1448, 2172, 2896, 4344, 8688

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

1, 4, 16

Step 3: Divide
Divide 8688 by the largest perfect square you found in the previous step:

8688 / 16 = 543

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 8688 in its simplest form:


4	√	543

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Decimal Form
Square Root of 8688 in Decimal form rounded to nearest 5 decimals:

93.20944

Exponent Form
Square Root of 8688 written with Exponent instead of Radical:

8688^½ = 4 x 543^½

Simplify Square Root of 8689
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* List of Perfect Squares