Simplify Square Root of 6800

Here we will show you step-by-step how to simplify the square root of 6800. The square root of 6800 can be written as follows:


	√	6800

The √ symbol is called the radical sign. To simplify the square root of 6800 means to get the simplest radical form of √6800.

Step 1: List Factors
List the factors of 6800 like so:

1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 34, 40, 50, 68, 80, 85, 100, 136, 170, 200, 272, 340, 400, 425, 680, 850, 1360, 1700, 3400, 6800

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

1, 4, 16, 25, 100, 400

Step 3: Divide
Divide 6800 by the largest perfect square you found in the previous step:

6800 / 400 = 17

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

√400 = 20

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6800 in its simplest form:


20	√	17

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Decimal Form
Square Root of 6800 in Decimal form rounded to nearest 5 decimals:

82.46211

Exponent Form
Square Root of 6800 written with Exponent instead of Radical:

6800^½ = 20 x 17^½

Simplify Square Root of 6801
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* List of Perfect Squares