Simplify Square Root of 6888

Here we will show you step-by-step how to simplify the square root of 6888. The square root of 6888 can be written as follows:


	√	6888

The √ symbol is called the radical sign. To simplify the square root of 6888 means to get the simplest radical form of √6888.

Step 1: List Factors
List the factors of 6888 like so:

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 41, 42, 56, 82, 84, 123, 164, 168, 246, 287, 328, 492, 574, 861, 984, 1148, 1722, 2296, 3444, 6888

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

1, 4

Step 3: Divide
Divide 6888 by the largest perfect square you found in the previous step:

6888 / 4 = 1722

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6888 in its simplest form:


2	√	1722

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Decimal Form
Square Root of 6888 in Decimal form rounded to nearest 5 decimals:

82.99398

Exponent Form
Square Root of 6888 written with Exponent instead of Radical:

6888^½ = 2 x 1722^½

Simplify Square Root of 6889
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* List of Perfect Squares